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Finding the Third Proportional to 391,012.31 and 573,834.38

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Solution

The third proportional to 391,012.31 and 573,834.38 is: 842,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,012.31 : 573,834.38 = 573,834.38 : x
  2. Step 2: Convert to fraction form
    391,012.31/573,834.38 = 573,834.38/x
  3. Step 3: Cross multiply
    391,012.31x = 573,834.38 × 573,834.38
  4. Step 4: Simplify right side
    391,012.31x = 329,285,889,931.64
  5. Step 5: Solve for x
    x = 329,285,889,931.64/391,012.31
  6. Step 6: Final answer
    x = 842,136.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.