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Finding the Third Proportional to 78,649 and 170,417

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Solution

The third proportional to 78,649 and 170,417 is: 369,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649 : 170,417 = 170,417 : x
  2. Step 2: Convert to fraction form
    78,649/170,417 = 170,417/x
  3. Step 3: Cross multiply
    78,649x = 170,417 × 170,417
  4. Step 4: Simplify right side
    78,649x = 29,041,953,889
  5. Step 5: Solve for x
    x = 29,041,953,889/78,649
  6. Step 6: Final answer
    x = 369,260.31

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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.