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Finding the Third Proportional to 72,638 and 157,340

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Solution

The third proportional to 72,638 and 157,340 is: 340,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,638 : 157,340 = 157,340 : x
  2. Step 2: Convert to fraction form
    72,638/157,340 = 157,340/x
  3. Step 3: Cross multiply
    72,638x = 157,340 × 157,340
  4. Step 4: Simplify right side
    72,638x = 24,755,875,600
  5. Step 5: Solve for x
    x = 24,755,875,600/72,638
  6. Step 6: Final answer
    x = 340,811.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.