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Finding the Third Proportional to 560.75 and 784.25

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Solution

The third proportional to 560.75 and 784.25 is: 1,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.75 : 784.25 = 784.25 : x
  2. Step 2: Convert to fraction form
    560.75/784.25 = 784.25/x
  3. Step 3: Cross multiply
    560.75x = 784.25 × 784.25
  4. Step 4: Simplify right side
    560.75x = 615,048.06
  5. Step 5: Solve for x
    x = 615,048.06/560.75
  6. Step 6: Final answer
    x = 1,096.83

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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.