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Finding the Third Proportional to 142,519,473 and 220,324,023

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Solution

The third proportional to 142,519,473 and 220,324,023 is: 340,603,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,519,473 : 220,324,023 = 220,324,023 : x
  2. Step 2: Convert to fraction form
    142,519,473/220,324,023 = 220,324,023/x
  3. Step 3: Cross multiply
    142,519,473x = 220,324,023 × 220,324,023
  4. Step 4: Simplify right side
    142,519,473x = 48,542,675,110,904,528
  5. Step 5: Solve for x
    x = 48,542,675,110,904,528/142,519,473
  6. Step 6: Final answer
    x = 340,603,807.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.