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Finding the Third Proportional to 363,128 and 778,720

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Solution

The third proportional to 363,128 and 778,720 is: 1,669,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,128 : 778,720 = 778,720 : x
  2. Step 2: Convert to fraction form
    363,128/778,720 = 778,720/x
  3. Step 3: Cross multiply
    363,128x = 778,720 × 778,720
  4. Step 4: Simplify right side
    363,128x = 606,404,838,400
  5. Step 5: Solve for x
    x = 606,404,838,400/363,128
  6. Step 6: Final answer
    x = 1,669,947.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.