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Finding the Third Proportional to 266,302.69 and 402,220.69

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Solution

The third proportional to 266,302.69 and 402,220.69 is: 607,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,302.69 : 402,220.69 = 402,220.69 : x
  2. Step 2: Convert to fraction form
    266,302.69/402,220.69 = 402,220.69/x
  3. Step 3: Cross multiply
    266,302.69x = 402,220.69 × 402,220.69
  4. Step 4: Simplify right side
    266,302.69x = 161,781,481,452.97
  5. Step 5: Solve for x
    x = 161,781,481,452.97/266,302.69
  6. Step 6: Final answer
    x = 607,509.76

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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.