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Finding the Third Proportional to 31,524 and 64,623

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Solution

The third proportional to 31,524 and 64,623 is: 132,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524 : 64,623 = 64,623 : x
  2. Step 2: Convert to fraction form
    31,524/64,623 = 64,623/x
  3. Step 3: Cross multiply
    31,524x = 64,623 × 64,623
  4. Step 4: Simplify right side
    31,524x = 4,176,132,129
  5. Step 5: Solve for x
    x = 4,176,132,129/31,524
  6. Step 6: Final answer
    x = 132,474.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.