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Finding the Third Proportional to 127,330 and 277,988

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Solution

The third proportional to 127,330 and 277,988 is: 606,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,330 : 277,988 = 277,988 : x
  2. Step 2: Convert to fraction form
    127,330/277,988 = 277,988/x
  3. Step 3: Cross multiply
    127,330x = 277,988 × 277,988
  4. Step 4: Simplify right side
    127,330x = 77,277,328,144
  5. Step 5: Solve for x
    x = 77,277,328,144/127,330
  6. Step 6: Final answer
    x = 606,905.90

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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.