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Finding the Third Proportional to 742.63 and 1,602.88

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Solution

The third proportional to 742.63 and 1,602.88 is: 3,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,602.88 = 1,602.88 : x
  2. Step 2: Convert to fraction form
    742.63/1,602.88 = 1,602.88/x
  3. Step 3: Cross multiply
    742.63x = 1,602.88 × 1,602.88
  4. Step 4: Simplify right side
    742.63x = 2,569,208.27
  5. Step 5: Solve for x
    x = 2,569,208.27/742.63
  6. Step 6: Final answer
    x = 3,459.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.