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Finding the Third Proportional to 560.56 and 740.19

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Solution

The third proportional to 560.56 and 740.19 is: 977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.56 : 740.19 = 740.19 : x
  2. Step 2: Convert to fraction form
    560.56/740.19 = 740.19/x
  3. Step 3: Cross multiply
    560.56x = 740.19 × 740.19
  4. Step 4: Simplify right side
    560.56x = 547,877.54
  5. Step 5: Solve for x
    x = 547,877.54/560.56
  6. Step 6: Final answer
    x = 977.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.