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Finding the Third Proportional to 487.90 and 705.27

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Solution

The third proportional to 487.90 and 705.27 is: 1,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.90 : 705.27 = 705.27 : x
  2. Step 2: Convert to fraction form
    487.90/705.27 = 705.27/x
  3. Step 3: Cross multiply
    487.90x = 705.27 × 705.27
  4. Step 4: Simplify right side
    487.90x = 497,405.11
  5. Step 5: Solve for x
    x = 497,405.11/487.90
  6. Step 6: Final answer
    x = 1,019.48

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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.