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Finding the Third Proportional to 127,812 and 277,712

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Solution

The third proportional to 127,812 and 277,712 is: 603,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,812 : 277,712 = 277,712 : x
  2. Step 2: Convert to fraction form
    127,812/277,712 = 277,712/x
  3. Step 3: Cross multiply
    127,812x = 277,712 × 277,712
  4. Step 4: Simplify right side
    127,812x = 77,123,954,944
  5. Step 5: Solve for x
    x = 77,123,954,944/127,812
  6. Step 6: Final answer
    x = 603,417.17

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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.