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Finding the Third Proportional to 172,824 and 266,607

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Solution

The third proportional to 172,824 and 266,607 is: 411,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,824 : 266,607 = 266,607 : x
  2. Step 2: Convert to fraction form
    172,824/266,607 = 266,607/x
  3. Step 3: Cross multiply
    172,824x = 266,607 × 266,607
  4. Step 4: Simplify right side
    172,824x = 71,079,292,449
  5. Step 5: Solve for x
    x = 71,079,292,449/172,824
  6. Step 6: Final answer
    x = 411,281.38

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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.