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Finding the Third Proportional to 640,680 and 927,971

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Solution

The third proportional to 640,680 and 927,971 is: 1,344,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,680 : 927,971 = 927,971 : x
  2. Step 2: Convert to fraction form
    640,680/927,971 = 927,971/x
  3. Step 3: Cross multiply
    640,680x = 927,971 × 927,971
  4. Step 4: Simplify right side
    640,680x = 861,130,176,841
  5. Step 5: Solve for x
    x = 861,130,176,841/640,680
  6. Step 6: Final answer
    x = 1,344,087.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.