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Finding the Third Proportional to 78,301 and 170,715

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Solution

The third proportional to 78,301 and 170,715 is: 372,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,301 : 170,715 = 170,715 : x
  2. Step 2: Convert to fraction form
    78,301/170,715 = 170,715/x
  3. Step 3: Cross multiply
    78,301x = 170,715 × 170,715
  4. Step 4: Simplify right side
    78,301x = 29,143,611,225
  5. Step 5: Solve for x
    x = 29,143,611,225/78,301
  6. Step 6: Final answer
    x = 372,199.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.