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Finding the Third Proportional to 385,687 and 837,711

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Solution

The third proportional to 385,687 and 837,711 is: 1,819,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,687 : 837,711 = 837,711 : x
  2. Step 2: Convert to fraction form
    385,687/837,711 = 837,711/x
  3. Step 3: Cross multiply
    385,687x = 837,711 × 837,711
  4. Step 4: Simplify right side
    385,687x = 701,759,719,521
  5. Step 5: Solve for x
    x = 701,759,719,521/385,687
  6. Step 6: Final answer
    x = 1,819,505.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.