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Finding the Third Proportional to 72,403 and 127,633

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Solution

The third proportional to 72,403 and 127,633 is: 224,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,403 : 127,633 = 127,633 : x
  2. Step 2: Convert to fraction form
    72,403/127,633 = 127,633/x
  3. Step 3: Cross multiply
    72,403x = 127,633 × 127,633
  4. Step 4: Simplify right side
    72,403x = 16,290,182,689
  5. Step 5: Solve for x
    x = 16,290,182,689/72,403
  6. Step 6: Final answer
    x = 224,993.20

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.