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Finding the Third Proportional to 80,689.50 and 170,607

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Solution

The third proportional to 80,689.50 and 170,607 is: 360,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,689.50 : 170,607 = 170,607 : x
  2. Step 2: Convert to fraction form
    80,689.50/170,607 = 170,607/x
  3. Step 3: Cross multiply
    80,689.50x = 170,607 × 170,607
  4. Step 4: Simplify right side
    80,689.50x = 29,106,748,449
  5. Step 5: Solve for x
    x = 29,106,748,449/80,689.50
  6. Step 6: Final answer
    x = 360,725.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.