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Finding the Third Proportional to 702.42 and 783.42

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Solution

The third proportional to 702.42 and 783.42 is: 873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 783.42 = 783.42 : x
  2. Step 2: Convert to fraction form
    702.42/783.42 = 783.42/x
  3. Step 3: Cross multiply
    702.42x = 783.42 × 783.42
  4. Step 4: Simplify right side
    702.42x = 613,749.83
  5. Step 5: Solve for x
    x = 613,749.83/702.42
  6. Step 6: Final answer
    x = 873.76

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.