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Finding the Third Proportional to 57,690 and 87,618

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Solution

The third proportional to 57,690 and 87,618 is: 133,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,690 : 87,618 = 87,618 : x
  2. Step 2: Convert to fraction form
    57,690/87,618 = 87,618/x
  3. Step 3: Cross multiply
    57,690x = 87,618 × 87,618
  4. Step 4: Simplify right side
    57,690x = 7,676,913,924
  5. Step 5: Solve for x
    x = 7,676,913,924/57,690
  6. Step 6: Final answer
    x = 133,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.