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Finding the Third Proportional to 78,584 and 169,628

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Solution

The third proportional to 78,584 and 169,628 is: 366,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584 : 169,628 = 169,628 : x
  2. Step 2: Convert to fraction form
    78,584/169,628 = 169,628/x
  3. Step 3: Cross multiply
    78,584x = 169,628 × 169,628
  4. Step 4: Simplify right side
    78,584x = 28,773,658,384
  5. Step 5: Solve for x
    x = 28,773,658,384/78,584
  6. Step 6: Final answer
    x = 366,151.61

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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.