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Finding the Third Proportional to 61,729,090 and 90,888,199

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Solution

The third proportional to 61,729,090 and 90,888,199 is: 133,821,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,729,090 : 90,888,199 = 90,888,199 : x
  2. Step 2: Convert to fraction form
    61,729,090/90,888,199 = 90,888,199/x
  3. Step 3: Cross multiply
    61,729,090x = 90,888,199 × 90,888,199
  4. Step 4: Simplify right side
    61,729,090x = 8,260,664,717,463,601
  5. Step 5: Solve for x
    x = 8,260,664,717,463,601/61,729,090
  6. Step 6: Final answer
    x = 133,821,261.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.