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Finding the Third Proportional to 487.69 and 705.09

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Solution

The third proportional to 487.69 and 705.09 is: 1,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.69 : 705.09 = 705.09 : x
  2. Step 2: Convert to fraction form
    487.69/705.09 = 705.09/x
  3. Step 3: Cross multiply
    487.69x = 705.09 × 705.09
  4. Step 4: Simplify right side
    487.69x = 497,157.20
  5. Step 5: Solve for x
    x = 497,157.20/487.69
  6. Step 6: Final answer
    x = 1,019.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.