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Finding the Third Proportional to 127,480 and 277,072

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Solution

The third proportional to 127,480 and 277,072 is: 602,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,480 : 277,072 = 277,072 : x
  2. Step 2: Convert to fraction form
    127,480/277,072 = 277,072/x
  3. Step 3: Cross multiply
    127,480x = 277,072 × 277,072
  4. Step 4: Simplify right side
    127,480x = 76,768,893,184
  5. Step 5: Solve for x
    x = 76,768,893,184/127,480
  6. Step 6: Final answer
    x = 602,203.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.