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Finding the Third Proportional to 127,810 and 277,700

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Solution

The third proportional to 127,810 and 277,700 is: 603,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,810 : 277,700 = 277,700 : x
  2. Step 2: Convert to fraction form
    127,810/277,700 = 277,700/x
  3. Step 3: Cross multiply
    127,810x = 277,700 × 277,700
  4. Step 4: Simplify right side
    127,810x = 77,117,290,000
  5. Step 5: Solve for x
    x = 77,117,290,000/127,810
  6. Step 6: Final answer
    x = 603,374.46

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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.