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Finding the Third Proportional to 138,047 and 195,747

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Solution

The third proportional to 138,047 and 195,747 is: 277,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047 : 195,747 = 195,747 : x
  2. Step 2: Convert to fraction form
    138,047/195,747 = 195,747/x
  3. Step 3: Cross multiply
    138,047x = 195,747 × 195,747
  4. Step 4: Simplify right side
    138,047x = 38,316,888,009
  5. Step 5: Solve for x
    x = 38,316,888,009/138,047
  6. Step 6: Final answer
    x = 277,564.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.