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Finding the Third Proportional to 78,724 and 170,060

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Solution

The third proportional to 78,724 and 170,060 is: 367,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,724 : 170,060 = 170,060 : x
  2. Step 2: Convert to fraction form
    78,724/170,060 = 170,060/x
  3. Step 3: Cross multiply
    78,724x = 170,060 × 170,060
  4. Step 4: Simplify right side
    78,724x = 28,920,403,600
  5. Step 5: Solve for x
    x = 28,920,403,600/78,724
  6. Step 6: Final answer
    x = 367,364.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.