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Finding the Third Proportional to 136,972 and 277,710

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Solution

The third proportional to 136,972 and 277,710 is: 563,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,972 : 277,710 = 277,710 : x
  2. Step 2: Convert to fraction form
    136,972/277,710 = 277,710/x
  3. Step 3: Cross multiply
    136,972x = 277,710 × 277,710
  4. Step 4: Simplify right side
    136,972x = 77,122,844,100
  5. Step 5: Solve for x
    x = 77,122,844,100/136,972
  6. Step 6: Final answer
    x = 563,055.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.