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Finding the Third Proportional to 218,167 and 337,618

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Solution

The third proportional to 218,167 and 337,618 is: 522,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,167 : 337,618 = 337,618 : x
  2. Step 2: Convert to fraction form
    218,167/337,618 = 337,618/x
  3. Step 3: Cross multiply
    218,167x = 337,618 × 337,618
  4. Step 4: Simplify right side
    218,167x = 113,985,913,924
  5. Step 5: Solve for x
    x = 113,985,913,924/218,167
  6. Step 6: Final answer
    x = 522,470.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.