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Finding the Third Proportional to 487.90 and 1,052.68

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Solution

The third proportional to 487.90 and 1,052.68 is: 2,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.90 : 1,052.68 = 1,052.68 : x
  2. Step 2: Convert to fraction form
    487.90/1,052.68 = 1,052.68/x
  3. Step 3: Cross multiply
    487.90x = 1,052.68 × 1,052.68
  4. Step 4: Simplify right side
    487.90x = 1,108,142.75
  5. Step 5: Solve for x
    x = 1,108,142.75/487.90
  6. Step 6: Final answer
    x = 2,271.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.