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Finding the Third Proportional to 78,564 and 170,789

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Solution

The third proportional to 78,564 and 170,789 is: 371,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564 : 170,789 = 170,789 : x
  2. Step 2: Convert to fraction form
    78,564/170,789 = 170,789/x
  3. Step 3: Cross multiply
    78,564x = 170,789 × 170,789
  4. Step 4: Simplify right side
    78,564x = 29,168,882,521
  5. Step 5: Solve for x
    x = 29,168,882,521/78,564
  6. Step 6: Final answer
    x = 371,275.43

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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.