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Finding the Third Proportional to 243,985.50 and 354,861

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Solution

The third proportional to 243,985.50 and 354,861 is: 516,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,985.50 : 354,861 = 354,861 : x
  2. Step 2: Convert to fraction form
    243,985.50/354,861 = 354,861/x
  3. Step 3: Cross multiply
    243,985.50x = 354,861 × 354,861
  4. Step 4: Simplify right side
    243,985.50x = 125,926,329,321
  5. Step 5: Solve for x
    x = 125,926,329,321/243,985.50
  6. Step 6: Final answer
    x = 516,122.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.