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Finding the Third Proportional to 243,585 and 382,645

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Solution

The third proportional to 243,585 and 382,645 is: 601,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,585 : 382,645 = 382,645 : x
  2. Step 2: Convert to fraction form
    243,585/382,645 = 382,645/x
  3. Step 3: Cross multiply
    243,585x = 382,645 × 382,645
  4. Step 4: Simplify right side
    243,585x = 146,417,196,025
  5. Step 5: Solve for x
    x = 146,417,196,025/243,585
  6. Step 6: Final answer
    x = 601,092.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.