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Finding the Third Proportional to 991.62 and 1,456.73

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Solution

The third proportional to 991.62 and 1,456.73 is: 2,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.62 : 1,456.73 = 1,456.73 : x
  2. Step 2: Convert to fraction form
    991.62/1,456.73 = 1,456.73/x
  3. Step 3: Cross multiply
    991.62x = 1,456.73 × 1,456.73
  4. Step 4: Simplify right side
    991.62x = 2,122,075.04
  5. Step 5: Solve for x
    x = 2,122,075.04/991.62
  6. Step 6: Final answer
    x = 2,140.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.