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Finding the Third Proportional to 486,295 and 781,338

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Solution

The third proportional to 486,295 and 781,338 is: 1,255,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,295 : 781,338 = 781,338 : x
  2. Step 2: Convert to fraction form
    486,295/781,338 = 781,338/x
  3. Step 3: Cross multiply
    486,295x = 781,338 × 781,338
  4. Step 4: Simplify right side
    486,295x = 610,489,070,244
  5. Step 5: Solve for x
    x = 610,489,070,244/486,295
  6. Step 6: Final answer
    x = 1,255,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.