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Finding the Third Proportional to 161,440 and 266,800

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Solution

The third proportional to 161,440 and 266,800 is: 440,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,440 : 266,800 = 266,800 : x
  2. Step 2: Convert to fraction form
    161,440/266,800 = 266,800/x
  3. Step 3: Cross multiply
    161,440x = 266,800 × 266,800
  4. Step 4: Simplify right side
    161,440x = 71,182,240,000
  5. Step 5: Solve for x
    x = 71,182,240,000/161,440
  6. Step 6: Final answer
    x = 440,920.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.