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Finding the Third Proportional to 78,208 and 170,382

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Solution

The third proportional to 78,208 and 170,382 is: 371,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208 : 170,382 = 170,382 : x
  2. Step 2: Convert to fraction form
    78,208/170,382 = 170,382/x
  3. Step 3: Cross multiply
    78,208x = 170,382 × 170,382
  4. Step 4: Simplify right side
    78,208x = 29,030,025,924
  5. Step 5: Solve for x
    x = 29,030,025,924/78,208
  6. Step 6: Final answer
    x = 371,189.98

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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.