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Finding the Third Proportional to 88,782 and 119,618

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Solution

The third proportional to 88,782 and 119,618 is: 161,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,782 : 119,618 = 119,618 : x
  2. Step 2: Convert to fraction form
    88,782/119,618 = 119,618/x
  3. Step 3: Cross multiply
    88,782x = 119,618 × 119,618
  4. Step 4: Simplify right side
    88,782x = 14,308,465,924
  5. Step 5: Solve for x
    x = 14,308,465,924/88,782
  6. Step 6: Final answer
    x = 161,164.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.