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Finding the Third Proportional to 117,262,748 and 257,650,832

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Solution

The third proportional to 117,262,748 and 257,650,832 is: 566,112,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,262,748 : 257,650,832 = 257,650,832 : x
  2. Step 2: Convert to fraction form
    117,262,748/257,650,832 = 257,650,832/x
  3. Step 3: Cross multiply
    117,262,748x = 257,650,832 × 257,650,832
  4. Step 4: Simplify right side
    117,262,748x = 66,383,951,230,292,224
  5. Step 5: Solve for x
    x = 66,383,951,230,292,224/117,262,748
  6. Step 6: Final answer
    x = 566,112,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.