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Finding the Third Proportional to 560 and 870.25

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Solution

The third proportional to 560 and 870.25 is: 1,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 870.25 = 870.25 : x
  2. Step 2: Convert to fraction form
    560/870.25 = 870.25/x
  3. Step 3: Cross multiply
    560x = 870.25 × 870.25
  4. Step 4: Simplify right side
    560x = 757,335.06
  5. Step 5: Solve for x
    x = 757,335.06/560
  6. Step 6: Final answer
    x = 1,352.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.