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Finding the Third Proportional to 321,418 and 475,565

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Solution

The third proportional to 321,418 and 475,565 is: 703,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,418 : 475,565 = 475,565 : x
  2. Step 2: Convert to fraction form
    321,418/475,565 = 475,565/x
  3. Step 3: Cross multiply
    321,418x = 475,565 × 475,565
  4. Step 4: Simplify right side
    321,418x = 226,162,069,225
  5. Step 5: Solve for x
    x = 226,162,069,225/321,418
  6. Step 6: Final answer
    x = 703,638.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.