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Finding the Third Proportional to 321,418.13 and 472,159.13

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Solution

The third proportional to 321,418.13 and 472,159.13 is: 693,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,418.13 : 472,159.13 = 472,159.13 : x
  2. Step 2: Convert to fraction form
    321,418.13/472,159.13 = 472,159.13/x
  3. Step 3: Cross multiply
    321,418.13x = 472,159.13 × 472,159.13
  4. Step 4: Simplify right side
    321,418.13x = 222,934,239,320.77
  5. Step 5: Solve for x
    x = 222,934,239,320.77/321,418.13
  6. Step 6: Final answer
    x = 693,595.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.