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Finding the Third Proportional to 266,371.50 and 402,321

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Solution

The third proportional to 266,371.50 and 402,321 is: 607,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,371.50 : 402,321 = 402,321 : x
  2. Step 2: Convert to fraction form
    266,371.50/402,321 = 402,321/x
  3. Step 3: Cross multiply
    266,371.50x = 402,321 × 402,321
  4. Step 4: Simplify right side
    266,371.50x = 161,862,187,041
  5. Step 5: Solve for x
    x = 161,862,187,041/266,371.50
  6. Step 6: Final answer
    x = 607,655.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.