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Finding the Third Proportional to 83,484 and 138,618

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Solution

The third proportional to 83,484 and 138,618 is: 230,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,484 : 138,618 = 138,618 : x
  2. Step 2: Convert to fraction form
    83,484/138,618 = 138,618/x
  3. Step 3: Cross multiply
    83,484x = 138,618 × 138,618
  4. Step 4: Simplify right side
    83,484x = 19,214,949,924
  5. Step 5: Solve for x
    x = 19,214,949,924/83,484
  6. Step 6: Final answer
    x = 230,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.