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Finding the Third Proportional to 71,117,987 and 155,157,787

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Solution

The third proportional to 71,117,987 and 155,157,787 is: 338,507,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,117,987 : 155,157,787 = 155,157,787 : x
  2. Step 2: Convert to fraction form
    71,117,987/155,157,787 = 155,157,787/x
  3. Step 3: Cross multiply
    71,117,987x = 155,157,787 × 155,157,787
  4. Step 4: Simplify right side
    71,117,987x = 24,073,938,866,737,368
  5. Step 5: Solve for x
    x = 24,073,938,866,737,368/71,117,987
  6. Step 6: Final answer
    x = 338,507,034.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.