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Finding the Third Proportional to 486.50 and 708.25

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Solution

The third proportional to 486.50 and 708.25 is: 1,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.50 : 708.25 = 708.25 : x
  2. Step 2: Convert to fraction form
    486.50/708.25 = 708.25/x
  3. Step 3: Cross multiply
    486.50x = 708.25 × 708.25
  4. Step 4: Simplify right side
    486.50x = 501,618.06
  5. Step 5: Solve for x
    x = 501,618.06/486.50
  6. Step 6: Final answer
    x = 1,031.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.