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Finding the Third Proportional to 456.47 and 986.91

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Solution

The third proportional to 456.47 and 986.91 is: 2,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 986.91 = 986.91 : x
  2. Step 2: Convert to fraction form
    456.47/986.91 = 986.91/x
  3. Step 3: Cross multiply
    456.47x = 986.91 × 986.91
  4. Step 4: Simplify right side
    456.47x = 973,983.95
  5. Step 5: Solve for x
    x = 973,983.95/456.47
  6. Step 6: Final answer
    x = 2,133.74

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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.