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Finding the Third Proportional to 321,612 and 472,781

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Solution

The third proportional to 321,612 and 472,781 is: 695,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,612 : 472,781 = 472,781 : x
  2. Step 2: Convert to fraction form
    321,612/472,781 = 472,781/x
  3. Step 3: Cross multiply
    321,612x = 472,781 × 472,781
  4. Step 4: Simplify right side
    321,612x = 223,521,873,961
  5. Step 5: Solve for x
    x = 223,521,873,961/321,612
  6. Step 6: Final answer
    x = 695,004.77

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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.