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Finding the Third Proportional to 417,790 and 857,702

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Solution

The third proportional to 417,790 and 857,702 is: 1,760,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,790 : 857,702 = 857,702 : x
  2. Step 2: Convert to fraction form
    417,790/857,702 = 857,702/x
  3. Step 3: Cross multiply
    417,790x = 857,702 × 857,702
  4. Step 4: Simplify right side
    417,790x = 735,652,720,804
  5. Step 5: Solve for x
    x = 735,652,720,804/417,790
  6. Step 6: Final answer
    x = 1,760,819.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.