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Finding the Third Proportional to 442.50 and 710.25

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Solution

The third proportional to 442.50 and 710.25 is: 1,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 710.25 = 710.25 : x
  2. Step 2: Convert to fraction form
    442.50/710.25 = 710.25/x
  3. Step 3: Cross multiply
    442.50x = 710.25 × 710.25
  4. Step 4: Simplify right side
    442.50x = 504,455.06
  5. Step 5: Solve for x
    x = 504,455.06/442.50
  6. Step 6: Final answer
    x = 1,140.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.