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Finding the Third Proportional to 148,681,012 and 318,885,128

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Solution

The third proportional to 148,681,012 and 318,885,128 is: 683,932,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,681,012 : 318,885,128 = 318,885,128 : x
  2. Step 2: Convert to fraction form
    148,681,012/318,885,128 = 318,885,128/x
  3. Step 3: Cross multiply
    148,681,012x = 318,885,128 × 318,885,128
  4. Step 4: Simplify right side
    148,681,012x = 101,687,724,859,576,384
  5. Step 5: Solve for x
    x = 101,687,724,859,576,384/148,681,012
  6. Step 6: Final answer
    x = 683,932,154.43

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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.