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Finding the Third Proportional to 620.88 and 870.13

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Solution

The third proportional to 620.88 and 870.13 is: 1,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.88 : 870.13 = 870.13 : x
  2. Step 2: Convert to fraction form
    620.88/870.13 = 870.13/x
  3. Step 3: Cross multiply
    620.88x = 870.13 × 870.13
  4. Step 4: Simplify right side
    620.88x = 757,117.52
  5. Step 5: Solve for x
    x = 757,117.52/620.88
  6. Step 6: Final answer
    x = 1,219.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.