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Finding the Third Proportional to 74,403 and 163,548

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Solution

The third proportional to 74,403 and 163,548 is: 359,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,403 : 163,548 = 163,548 : x
  2. Step 2: Convert to fraction form
    74,403/163,548 = 163,548/x
  3. Step 3: Cross multiply
    74,403x = 163,548 × 163,548
  4. Step 4: Simplify right side
    74,403x = 26,747,948,304
  5. Step 5: Solve for x
    x = 26,747,948,304/74,403
  6. Step 6: Final answer
    x = 359,500.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.