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Finding the Third Proportional to 261,423 and 399,645

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Solution

The third proportional to 261,423 and 399,645 is: 610,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,423 : 399,645 = 399,645 : x
  2. Step 2: Convert to fraction form
    261,423/399,645 = 399,645/x
  3. Step 3: Cross multiply
    261,423x = 399,645 × 399,645
  4. Step 4: Simplify right side
    261,423x = 159,716,126,025
  5. Step 5: Solve for x
    x = 159,716,126,025/261,423
  6. Step 6: Final answer
    x = 610,949.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.