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Finding the Third Proportional to 126,740 and 277,672

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Solution

The third proportional to 126,740 and 277,672 is: 608,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,740 : 277,672 = 277,672 : x
  2. Step 2: Convert to fraction form
    126,740/277,672 = 277,672/x
  3. Step 3: Cross multiply
    126,740x = 277,672 × 277,672
  4. Step 4: Simplify right side
    126,740x = 77,101,739,584
  5. Step 5: Solve for x
    x = 77,101,739,584/126,740
  6. Step 6: Final answer
    x = 608,345.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.