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Finding the Third Proportional to 102,618 and 153,512

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Solution

The third proportional to 102,618 and 153,512 is: 229,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,618 : 153,512 = 153,512 : x
  2. Step 2: Convert to fraction form
    102,618/153,512 = 153,512/x
  3. Step 3: Cross multiply
    102,618x = 153,512 × 153,512
  4. Step 4: Simplify right side
    102,618x = 23,565,934,144
  5. Step 5: Solve for x
    x = 23,565,934,144/102,618
  6. Step 6: Final answer
    x = 229,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.