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Finding the Third Proportional to 34,618 and 75,311

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Solution

The third proportional to 34,618 and 75,311 is: 163,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,618 : 75,311 = 75,311 : x
  2. Step 2: Convert to fraction form
    34,618/75,311 = 75,311/x
  3. Step 3: Cross multiply
    34,618x = 75,311 × 75,311
  4. Step 4: Simplify right side
    34,618x = 5,671,746,721
  5. Step 5: Solve for x
    x = 5,671,746,721/34,618
  6. Step 6: Final answer
    x = 163,838.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.