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Finding the Third Proportional to 148,681,008 and 318,885,120

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Solution

The third proportional to 148,681,008 and 318,885,120 is: 683,932,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,681,008 : 318,885,120 = 318,885,120 : x
  2. Step 2: Convert to fraction form
    148,681,008/318,885,120 = 318,885,120/x
  3. Step 3: Cross multiply
    148,681,008x = 318,885,120 × 318,885,120
  4. Step 4: Simplify right side
    148,681,008x = 101,687,719,757,414,400
  5. Step 5: Solve for x
    x = 101,687,719,757,414,400/148,681,008
  6. Step 6: Final answer
    x = 683,932,138.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.