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Finding the Third Proportional to 243,136.69 and 522,298.13

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Solution

The third proportional to 243,136.69 and 522,298.13 is: 1,121,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,136.69 : 522,298.13 = 522,298.13 : x
  2. Step 2: Convert to fraction form
    243,136.69/522,298.13 = 522,298.13/x
  3. Step 3: Cross multiply
    243,136.69x = 522,298.13 × 522,298.13
  4. Step 4: Simplify right side
    243,136.69x = 272,795,331,378.52
  5. Step 5: Solve for x
    x = 272,795,331,378.52/243,136.69
  6. Step 6: Final answer
    x = 1,121,983.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.