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Finding the Third Proportional to 254,490,214,128 and 553,661,313,807

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Solution

The third proportional to 254,490,214,128 and 553,661,313,807 is: 1,204,529,028,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,490,214,128 : 553,661,313,807 = 553,661,313,807 : x
  2. Step 2: Convert to fraction form
    254,490,214,128/553,661,313,807 = 553,661,313,807/x
  3. Step 3: Cross multiply
    254,490,214,128x = 553,661,313,807 × 553,661,313,807
  4. Step 4: Simplify right side
    254,490,214,128x = 306,540,850,406,493,333,225,472
  5. Step 5: Solve for x
    x = 306,540,850,406,493,333,225,472/254,490,214,128
  6. Step 6: Final answer
    x = 1,204,529,028,579.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.