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Finding the Third Proportional to 72,908 and 151,633

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Solution

The third proportional to 72,908 and 151,633 is: 315,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,908 : 151,633 = 151,633 : x
  2. Step 2: Convert to fraction form
    72,908/151,633 = 151,633/x
  3. Step 3: Cross multiply
    72,908x = 151,633 × 151,633
  4. Step 4: Simplify right side
    72,908x = 22,992,566,689
  5. Step 5: Solve for x
    x = 22,992,566,689/72,908
  6. Step 6: Final answer
    x = 315,364.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.