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Finding the Third Proportional to 321,600 and 472,765.50

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Solution

The third proportional to 321,600 and 472,765.50 is: 694,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,600 : 472,765.50 = 472,765.50 : x
  2. Step 2: Convert to fraction form
    321,600/472,765.50 = 472,765.50/x
  3. Step 3: Cross multiply
    321,600x = 472,765.50 × 472,765.50
  4. Step 4: Simplify right side
    321,600x = 223,507,217,990.25
  5. Step 5: Solve for x
    x = 223,507,217,990.25/321,600
  6. Step 6: Final answer
    x = 694,985.13

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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.