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Finding the Third Proportional to 643,702 and 945,847

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Solution

The third proportional to 643,702 and 945,847 is: 1,389,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,702 : 945,847 = 945,847 : x
  2. Step 2: Convert to fraction form
    643,702/945,847 = 945,847/x
  3. Step 3: Cross multiply
    643,702x = 945,847 × 945,847
  4. Step 4: Simplify right side
    643,702x = 894,626,547,409
  5. Step 5: Solve for x
    x = 894,626,547,409/643,702
  6. Step 6: Final answer
    x = 1,389,814.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.