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Finding the Third Proportional to 127,203 and 186,915

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Solution

The third proportional to 127,203 and 186,915 is: 274,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,203 : 186,915 = 186,915 : x
  2. Step 2: Convert to fraction form
    127,203/186,915 = 186,915/x
  3. Step 3: Cross multiply
    127,203x = 186,915 × 186,915
  4. Step 4: Simplify right side
    127,203x = 34,937,217,225
  5. Step 5: Solve for x
    x = 34,937,217,225/127,203
  6. Step 6: Final answer
    x = 274,657.18

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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.