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Finding the Third Proportional to 460.90 and 702.21

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Solution

The third proportional to 460.90 and 702.21 is: 1,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 702.21 = 702.21 : x
  2. Step 2: Convert to fraction form
    460.90/702.21 = 702.21/x
  3. Step 3: Cross multiply
    460.90x = 702.21 × 702.21
  4. Step 4: Simplify right side
    460.90x = 493,100.20
  5. Step 5: Solve for x
    x = 493,100.20/460.90
  6. Step 6: Final answer
    x = 1,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.