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Finding the Third Proportional to 870.66 and 1,402.78

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Solution

The third proportional to 870.66 and 1,402.78 is: 2,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.66 : 1,402.78 = 1,402.78 : x
  2. Step 2: Convert to fraction form
    870.66/1,402.78 = 1,402.78/x
  3. Step 3: Cross multiply
    870.66x = 1,402.78 × 1,402.78
  4. Step 4: Simplify right side
    870.66x = 1,967,795.24
  5. Step 5: Solve for x
    x = 1,967,795.24/870.66
  6. Step 6: Final answer
    x = 2,260.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.