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Finding the Third Proportional to 72,989 and 157,972

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Solution

The third proportional to 72,989 and 157,972 is: 341,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,989 : 157,972 = 157,972 : x
  2. Step 2: Convert to fraction form
    72,989/157,972 = 157,972/x
  3. Step 3: Cross multiply
    72,989x = 157,972 × 157,972
  4. Step 4: Simplify right side
    72,989x = 24,955,152,784
  5. Step 5: Solve for x
    x = 24,955,152,784/72,989
  6. Step 6: Final answer
    x = 341,902.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.