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Finding the Third Proportional to 133,600,716 and 206,865,564

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Solution

The third proportional to 133,600,716 and 206,865,564 is: 320,307,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,600,716 : 206,865,564 = 206,865,564 : x
  2. Step 2: Convert to fraction form
    133,600,716/206,865,564 = 206,865,564/x
  3. Step 3: Cross multiply
    133,600,716x = 206,865,564 × 206,865,564
  4. Step 4: Simplify right side
    133,600,716x = 42,793,361,569,038,096
  5. Step 5: Solve for x
    x = 42,793,361,569,038,096/133,600,716
  6. Step 6: Final answer
    x = 320,307,875.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.