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Finding the Third Proportional to 243,136.69 and 356,820.19

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Solution

The third proportional to 243,136.69 and 356,820.19 is: 523,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,136.69 : 356,820.19 = 356,820.19 : x
  2. Step 2: Convert to fraction form
    243,136.69/356,820.19 = 356,820.19/x
  3. Step 3: Cross multiply
    243,136.69x = 356,820.19 × 356,820.19
  4. Step 4: Simplify right side
    243,136.69x = 127,320,646,207.54
  5. Step 5: Solve for x
    x = 127,320,646,207.54/243,136.69
  6. Step 6: Final answer
    x = 523,658.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.