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Finding the Third Proportional to 148,681,010 and 318,885,124

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Solution

The third proportional to 148,681,010 and 318,885,124 is: 683,932,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,681,010 : 318,885,124 = 318,885,124 : x
  2. Step 2: Convert to fraction form
    148,681,010/318,885,124 = 318,885,124/x
  3. Step 3: Cross multiply
    148,681,010x = 318,885,124 × 318,885,124
  4. Step 4: Simplify right side
    148,681,010x = 101,687,722,308,495,376
  5. Step 5: Solve for x
    x = 101,687,722,308,495,376/148,681,010
  6. Step 6: Final answer
    x = 683,932,146.47

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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.