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Finding the Third Proportional to 144,063,508.50 and 315,449,289

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Solution

The third proportional to 144,063,508.50 and 315,449,289 is: 690,724,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,063,508.50 : 315,449,289 = 315,449,289 : x
  2. Step 2: Convert to fraction form
    144,063,508.50/315,449,289 = 315,449,289/x
  3. Step 3: Cross multiply
    144,063,508.50x = 315,449,289 × 315,449,289
  4. Step 4: Simplify right side
    144,063,508.50x = 99,508,253,930,605,520
  5. Step 5: Solve for x
    x = 99,508,253,930,605,520/144,063,508.50
  6. Step 6: Final answer
    x = 690,724,909.91

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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.