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Finding the Third Proportional to 521,132.25 and 778,629

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Solution

The third proportional to 521,132.25 and 778,629 is: 1,163,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,132.25 : 778,629 = 778,629 : x
  2. Step 2: Convert to fraction form
    521,132.25/778,629 = 778,629/x
  3. Step 3: Cross multiply
    521,132.25x = 778,629 × 778,629
  4. Step 4: Simplify right side
    521,132.25x = 606,263,119,641
  5. Step 5: Solve for x
    x = 606,263,119,641/521,132.25
  6. Step 6: Final answer
    x = 1,163,357.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.