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Finding the Third Proportional to 77,339 and 169,618

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Solution

The third proportional to 77,339 and 169,618 is: 372,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,339 : 169,618 = 169,618 : x
  2. Step 2: Convert to fraction form
    77,339/169,618 = 169,618/x
  3. Step 3: Cross multiply
    77,339x = 169,618 × 169,618
  4. Step 4: Simplify right side
    77,339x = 28,770,265,924
  5. Step 5: Solve for x
    x = 28,770,265,924/77,339
  6. Step 6: Final answer
    x = 372,002.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.