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Finding the Third Proportional to 127.76 and 288.84

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Solution

The third proportional to 127.76 and 288.84 is: 653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 288.84 = 288.84 : x
  2. Step 2: Convert to fraction form
    127.76/288.84 = 288.84/x
  3. Step 3: Cross multiply
    127.76x = 288.84 × 288.84
  4. Step 4: Simplify right side
    127.76x = 83,430.71
  5. Step 5: Solve for x
    x = 83,430.71/127.76
  6. Step 6: Final answer
    x = 653.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.