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Finding the Third Proportional to 172,706 and 266,442

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Solution

The third proportional to 172,706 and 266,442 is: 411,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,706 : 266,442 = 266,442 : x
  2. Step 2: Convert to fraction form
    172,706/266,442 = 266,442/x
  3. Step 3: Cross multiply
    172,706x = 266,442 × 266,442
  4. Step 4: Simplify right side
    172,706x = 70,991,339,364
  5. Step 5: Solve for x
    x = 70,991,339,364/172,706
  6. Step 6: Final answer
    x = 411,053.12

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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.