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Finding the Third Proportional to 576,115.88 and 872,132.06

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Solution

The third proportional to 576,115.88 and 872,132.06 is: 1,320,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,115.88 : 872,132.06 = 872,132.06 : x
  2. Step 2: Convert to fraction form
    576,115.88/872,132.06 = 872,132.06/x
  3. Step 3: Cross multiply
    576,115.88x = 872,132.06 × 872,132.06
  4. Step 4: Simplify right side
    576,115.88x = 760,614,334,440.50
  5. Step 5: Solve for x
    x = 760,614,334,440.50/576,115.88
  6. Step 6: Final answer
    x = 1,320,245.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.