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Finding the Third Proportional to 846,679 and 1,206,957

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Solution

The third proportional to 846,679 and 1,206,957 is: 1,720,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,679 : 1,206,957 = 1,206,957 : x
  2. Step 2: Convert to fraction form
    846,679/1,206,957 = 1,206,957/x
  3. Step 3: Cross multiply
    846,679x = 1,206,957 × 1,206,957
  4. Step 4: Simplify right side
    846,679x = 1,456,745,199,849
  5. Step 5: Solve for x
    x = 1,456,745,199,849/846,679
  6. Step 6: Final answer
    x = 1,720,540.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.