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Finding the Third Proportional to 96,540 and 153,618

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Solution

The third proportional to 96,540 and 153,618 is: 244,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540 : 153,618 = 153,618 : x
  2. Step 2: Convert to fraction form
    96,540/153,618 = 153,618/x
  3. Step 3: Cross multiply
    96,540x = 153,618 × 153,618
  4. Step 4: Simplify right side
    96,540x = 23,598,489,924
  5. Step 5: Solve for x
    x = 23,598,489,924/96,540
  6. Step 6: Final answer
    x = 244,442.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.