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Finding the Third Proportional to 172,818 and 266,598

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Solution

The third proportional to 172,818 and 266,598 is: 411,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,818 : 266,598 = 266,598 : x
  2. Step 2: Convert to fraction form
    172,818/266,598 = 266,598/x
  3. Step 3: Cross multiply
    172,818x = 266,598 × 266,598
  4. Step 4: Simplify right side
    172,818x = 71,074,493,604
  5. Step 5: Solve for x
    x = 71,074,493,604/172,818
  6. Step 6: Final answer
    x = 411,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.