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Finding the Third Proportional to 497.50 and 602.50

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Solution

The third proportional to 497.50 and 602.50 is: 729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 602.50 = 602.50 : x
  2. Step 2: Convert to fraction form
    497.50/602.50 = 602.50/x
  3. Step 3: Cross multiply
    497.50x = 602.50 × 602.50
  4. Step 4: Simplify right side
    497.50x = 363,006.25
  5. Step 5: Solve for x
    x = 363,006.25/497.50
  6. Step 6: Final answer
    x = 729.66

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.