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Finding the Third Proportional to 78,228 and 168,618

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Solution

The third proportional to 78,228 and 168,618 is: 363,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228 : 168,618 = 168,618 : x
  2. Step 2: Convert to fraction form
    78,228/168,618 = 168,618/x
  3. Step 3: Cross multiply
    78,228x = 168,618 × 168,618
  4. Step 4: Simplify right side
    78,228x = 28,432,029,924
  5. Step 5: Solve for x
    x = 28,432,029,924/78,228
  6. Step 6: Final answer
    x = 363,450.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.