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Finding the Third Proportional to 1,387.13 and 2,978.02

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Solution

The third proportional to 1,387.13 and 2,978.02 is: 6,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 2,978.02 = 2,978.02 : x
  2. Step 2: Convert to fraction form
    1,387.13/2,978.02 = 2,978.02/x
  3. Step 3: Cross multiply
    1,387.13x = 2,978.02 × 2,978.02
  4. Step 4: Simplify right side
    1,387.13x = 8,868,577.06
  5. Step 5: Solve for x
    x = 8,868,577.06/1,387.13
  6. Step 6: Final answer
    x = 6,393.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.