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Finding the Third Proportional to 67,298 and 97,815

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Solution

The third proportional to 67,298 and 97,815 is: 142,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298 : 97,815 = 97,815 : x
  2. Step 2: Convert to fraction form
    67,298/97,815 = 97,815/x
  3. Step 3: Cross multiply
    67,298x = 97,815 × 97,815
  4. Step 4: Simplify right side
    67,298x = 9,567,774,225
  5. Step 5: Solve for x
    x = 9,567,774,225/67,298
  6. Step 6: Final answer
    x = 142,170.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.