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Finding the Third Proportional to 702.42 and 1,011.87

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Solution

The third proportional to 702.42 and 1,011.87 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 1,011.87 = 1,011.87 : x
  2. Step 2: Convert to fraction form
    702.42/1,011.87 = 1,011.87/x
  3. Step 3: Cross multiply
    702.42x = 1,011.87 × 1,011.87
  4. Step 4: Simplify right side
    702.42x = 1,023,875.21
  5. Step 5: Solve for x
    x = 1,023,875.21/702.42
  6. Step 6: Final answer
    x = 1,457.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.