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Finding the Third Proportional to 356,407.50 and 471,107

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Solution

The third proportional to 356,407.50 and 471,107 is: 622,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,407.50 : 471,107 = 471,107 : x
  2. Step 2: Convert to fraction form
    356,407.50/471,107 = 471,107/x
  3. Step 3: Cross multiply
    356,407.50x = 471,107 × 471,107
  4. Step 4: Simplify right side
    356,407.50x = 221,941,805,449
  5. Step 5: Solve for x
    x = 221,941,805,449/356,407.50
  6. Step 6: Final answer
    x = 622,719.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.