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Finding the Third Proportional to 392,071.50 and 552,136.50

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Solution

The third proportional to 392,071.50 and 552,136.50 is: 777,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,071.50 : 552,136.50 = 552,136.50 : x
  2. Step 2: Convert to fraction form
    392,071.50/552,136.50 = 552,136.50/x
  3. Step 3: Cross multiply
    392,071.50x = 552,136.50 × 552,136.50
  4. Step 4: Simplify right side
    392,071.50x = 304,854,714,632.25
  5. Step 5: Solve for x
    x = 304,854,714,632.25/392,071.50
  6. Step 6: Final answer
    x = 777,548.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.