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Finding the Third Proportional to 870.88 and 1,278.44

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Solution

The third proportional to 870.88 and 1,278.44 is: 1,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.88 : 1,278.44 = 1,278.44 : x
  2. Step 2: Convert to fraction form
    870.88/1,278.44 = 1,278.44/x
  3. Step 3: Cross multiply
    870.88x = 1,278.44 × 1,278.44
  4. Step 4: Simplify right side
    870.88x = 1,634,402.44
  5. Step 5: Solve for x
    x = 1,634,402.44/870.88
  6. Step 6: Final answer
    x = 1,876.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.