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Finding the Third Proportional to 55,332 and 84,618

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Solution

The third proportional to 55,332 and 84,618 is: 129,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,332 : 84,618 = 84,618 : x
  2. Step 2: Convert to fraction form
    55,332/84,618 = 84,618/x
  3. Step 3: Cross multiply
    55,332x = 84,618 × 84,618
  4. Step 4: Simplify right side
    55,332x = 7,160,205,924
  5. Step 5: Solve for x
    x = 7,160,205,924/55,332
  6. Step 6: Final answer
    x = 129,404.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.