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Finding the Third Proportional to 4,242.50 and 4,539.50

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Solution

The third proportional to 4,242.50 and 4,539.50 is: 4,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.50 : 4,539.50 = 4,539.50 : x
  2. Step 2: Convert to fraction form
    4,242.50/4,539.50 = 4,539.50/x
  3. Step 3: Cross multiply
    4,242.50x = 4,539.50 × 4,539.50
  4. Step 4: Simplify right side
    4,242.50x = 20,607,060.25
  5. Step 5: Solve for x
    x = 20,607,060.25/4,242.50
  6. Step 6: Final answer
    x = 4,857.29

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.