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Finding the Third Proportional to 399,582 and 609,345

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Solution

The third proportional to 399,582 and 609,345 is: 929,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,582 : 609,345 = 609,345 : x
  2. Step 2: Convert to fraction form
    399,582/609,345 = 609,345/x
  3. Step 3: Cross multiply
    399,582x = 609,345 × 609,345
  4. Step 4: Simplify right side
    399,582x = 371,301,329,025
  5. Step 5: Solve for x
    x = 371,301,329,025/399,582
  6. Step 6: Final answer
    x = 929,224.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.