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Finding the Third Proportional to 78,671 and 170,459

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Solution

The third proportional to 78,671 and 170,459 is: 369,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671 : 170,459 = 170,459 : x
  2. Step 2: Convert to fraction form
    78,671/170,459 = 170,459/x
  3. Step 3: Cross multiply
    78,671x = 170,459 × 170,459
  4. Step 4: Simplify right side
    78,671x = 29,056,270,681
  5. Step 5: Solve for x
    x = 29,056,270,681/78,671
  6. Step 6: Final answer
    x = 369,339.03

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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.