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Finding the Third Proportional to 78,618 and 169,685

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Solution

The third proportional to 78,618 and 169,685 is: 366,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,618 : 169,685 = 169,685 : x
  2. Step 2: Convert to fraction form
    78,618/169,685 = 169,685/x
  3. Step 3: Cross multiply
    78,618x = 169,685 × 169,685
  4. Step 4: Simplify right side
    78,618x = 28,792,999,225
  5. Step 5: Solve for x
    x = 28,792,999,225/78,618
  6. Step 6: Final answer
    x = 366,239.27

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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.