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Finding the Third Proportional to 172,458 and 375,291

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Solution

The third proportional to 172,458 and 375,291 is: 816,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,458 : 375,291 = 375,291 : x
  2. Step 2: Convert to fraction form
    172,458/375,291 = 375,291/x
  3. Step 3: Cross multiply
    172,458x = 375,291 × 375,291
  4. Step 4: Simplify right side
    172,458x = 140,843,334,681
  5. Step 5: Solve for x
    x = 140,843,334,681/172,458
  6. Step 6: Final answer
    x = 816,681.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.