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Finding the Third Proportional to 90,730,672 and 137,778,906

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Solution

The third proportional to 90,730,672 and 137,778,906 is: 209,223,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730,672 : 137,778,906 = 137,778,906 : x
  2. Step 2: Convert to fraction form
    90,730,672/137,778,906 = 137,778,906/x
  3. Step 3: Cross multiply
    90,730,672x = 137,778,906 × 137,778,906
  4. Step 4: Simplify right side
    90,730,672x = 18,983,026,938,556,836
  5. Step 5: Solve for x
    x = 18,983,026,938,556,836/90,730,672
  6. Step 6: Final answer
    x = 209,223,920.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.