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Finding the Third Proportional to 287,350.03 and 615,959.44

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Solution

The third proportional to 287,350.03 and 615,959.44 is: 1,320,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,350.03 : 615,959.44 = 615,959.44 : x
  2. Step 2: Convert to fraction form
    287,350.03/615,959.44 = 615,959.44/x
  3. Step 3: Cross multiply
    287,350.03x = 615,959.44 × 615,959.44
  4. Step 4: Simplify right side
    287,350.03x = 379,406,028,645.32
  5. Step 5: Solve for x
    x = 379,406,028,645.32/287,350.03
  6. Step 6: Final answer
    x = 1,320,361.88

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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.