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Finding the Third Proportional to 399,314 and 531,579

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Solution

The third proportional to 399,314 and 531,579 is: 707,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,314 : 531,579 = 531,579 : x
  2. Step 2: Convert to fraction form
    399,314/531,579 = 531,579/x
  3. Step 3: Cross multiply
    399,314x = 531,579 × 531,579
  4. Step 4: Simplify right side
    399,314x = 282,576,233,241
  5. Step 5: Solve for x
    x = 282,576,233,241/399,314
  6. Step 6: Final answer
    x = 707,654.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.