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Finding the Third Proportional to 643,707 and 973,857

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Solution

The third proportional to 643,707 and 973,857 is: 1,473,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,707 : 973,857 = 973,857 : x
  2. Step 2: Convert to fraction form
    643,707/973,857 = 973,857/x
  3. Step 3: Cross multiply
    643,707x = 973,857 × 973,857
  4. Step 4: Simplify right side
    643,707x = 948,397,456,449
  5. Step 5: Solve for x
    x = 948,397,456,449/643,707
  6. Step 6: Final answer
    x = 1,473,337.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.