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Finding the Third Proportional to 610.13 and 798.56

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Solution

The third proportional to 610.13 and 798.56 is: 1,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.13 : 798.56 = 798.56 : x
  2. Step 2: Convert to fraction form
    610.13/798.56 = 798.56/x
  3. Step 3: Cross multiply
    610.13x = 798.56 × 798.56
  4. Step 4: Simplify right side
    610.13x = 637,702.07
  5. Step 5: Solve for x
    x = 637,702.07/610.13
  6. Step 6: Final answer
    x = 1,045.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.