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Finding the Third Proportional to 147,387 and 346,443

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Solution

The third proportional to 147,387 and 346,443 is: 814,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,387 : 346,443 = 346,443 : x
  2. Step 2: Convert to fraction form
    147,387/346,443 = 346,443/x
  3. Step 3: Cross multiply
    147,387x = 346,443 × 346,443
  4. Step 4: Simplify right side
    147,387x = 120,022,752,249
  5. Step 5: Solve for x
    x = 120,022,752,249/147,387
  6. Step 6: Final answer
    x = 814,337.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.