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Finding the Third Proportional to 72,915 and 157,211

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Solution

The third proportional to 72,915 and 157,211 is: 338,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,915 : 157,211 = 157,211 : x
  2. Step 2: Convert to fraction form
    72,915/157,211 = 157,211/x
  3. Step 3: Cross multiply
    72,915x = 157,211 × 157,211
  4. Step 4: Simplify right side
    72,915x = 24,715,298,521
  5. Step 5: Solve for x
    x = 24,715,298,521/72,915
  6. Step 6: Final answer
    x = 338,960.41

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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.