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Finding the Third Proportional to 321,593 and 472,754.50

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Solution

The third proportional to 321,593 and 472,754.50 is: 694,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,593 : 472,754.50 = 472,754.50 : x
  2. Step 2: Convert to fraction form
    321,593/472,754.50 = 472,754.50/x
  3. Step 3: Cross multiply
    321,593x = 472,754.50 × 472,754.50
  4. Step 4: Simplify right side
    321,593x = 223,496,817,270.25
  5. Step 5: Solve for x
    x = 223,496,817,270.25/321,593
  6. Step 6: Final answer
    x = 694,967.92

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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.