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Finding the Third Proportional to 127,618 and 187,478

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Solution

The third proportional to 127,618 and 187,478 is: 275,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,618 : 187,478 = 187,478 : x
  2. Step 2: Convert to fraction form
    127,618/187,478 = 187,478/x
  3. Step 3: Cross multiply
    127,618x = 187,478 × 187,478
  4. Step 4: Simplify right side
    127,618x = 35,148,000,484
  5. Step 5: Solve for x
    x = 35,148,000,484/127,618
  6. Step 6: Final answer
    x = 275,415.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.