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Finding the Third Proportional to 19,781,750 and 42,176,397

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Solution

The third proportional to 19,781,750 and 42,176,397 is: 89,923,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781,750 : 42,176,397 = 42,176,397 : x
  2. Step 2: Convert to fraction form
    19,781,750/42,176,397 = 42,176,397/x
  3. Step 3: Cross multiply
    19,781,750x = 42,176,397 × 42,176,397
  4. Step 4: Simplify right side
    19,781,750x = 1,778,848,463,901,609
  5. Step 5: Solve for x
    x = 1,778,848,463,901,609/19,781,750
  6. Step 6: Final answer
    x = 89,923,715.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.