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Finding the Third Proportional to 575,162,137.13 and 1,257,940,894.50

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Solution

The third proportional to 575,162,137.13 and 1,257,940,894.50 is: 2,751,250,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,162,137.13 : 1,257,940,894.50 = 1,257,940,894.50 : x
  2. Step 2: Convert to fraction form
    575,162,137.13/1,257,940,894.50 = 1,257,940,894.50/x
  3. Step 3: Cross multiply
    575,162,137.13x = 1,257,940,894.50 × 1,257,940,894.50
  4. Step 4: Simplify right side
    575,162,137.13x = 1,582,415,294,055,460,096
  5. Step 5: Solve for x
    x = 1,582,415,294,055,460,096/575,162,137.13
  6. Step 6: Final answer
    x = 2,751,250,807.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.