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Finding the Third Proportional to 390,458 and 791,781

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Solution

The third proportional to 390,458 and 791,781 is: 1,605,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,458 : 791,781 = 791,781 : x
  2. Step 2: Convert to fraction form
    390,458/791,781 = 791,781/x
  3. Step 3: Cross multiply
    390,458x = 791,781 × 791,781
  4. Step 4: Simplify right side
    390,458x = 626,917,151,961
  5. Step 5: Solve for x
    x = 626,917,151,961/390,458
  6. Step 6: Final answer
    x = 1,605,594.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.