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Finding the Third Proportional to 243,699 and 363,520

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Solution

The third proportional to 243,699 and 363,520 is: 542,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,699 : 363,520 = 363,520 : x
  2. Step 2: Convert to fraction form
    243,699/363,520 = 363,520/x
  3. Step 3: Cross multiply
    243,699x = 363,520 × 363,520
  4. Step 4: Simplify right side
    243,699x = 132,146,790,400
  5. Step 5: Solve for x
    x = 132,146,790,400/243,699
  6. Step 6: Final answer
    x = 542,254.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.