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Finding the Third Proportional to 442,921.50 and 687,136.50

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Solution

The third proportional to 442,921.50 and 687,136.50 is: 1,066,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,921.50 : 687,136.50 = 687,136.50 : x
  2. Step 2: Convert to fraction form
    442,921.50/687,136.50 = 687,136.50/x
  3. Step 3: Cross multiply
    442,921.50x = 687,136.50 × 687,136.50
  4. Step 4: Simplify right side
    442,921.50x = 472,156,569,632.25
  5. Step 5: Solve for x
    x = 472,156,569,632.25/442,921.50
  6. Step 6: Final answer
    x = 1,066,005.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.