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Finding the Third Proportional to 461.10 and 695.13

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Solution

The third proportional to 461.10 and 695.13 is: 1,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 695.13 = 695.13 : x
  2. Step 2: Convert to fraction form
    461.10/695.13 = 695.13/x
  3. Step 3: Cross multiply
    461.10x = 695.13 × 695.13
  4. Step 4: Simplify right side
    461.10x = 483,211.31
  5. Step 5: Solve for x
    x = 483,211.31/461.10
  6. Step 6: Final answer
    x = 1,047.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.