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Finding the Third Proportional to 972.38 and 2,101.69

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Solution

The third proportional to 972.38 and 2,101.69 is: 4,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.38 : 2,101.69 = 2,101.69 : x
  2. Step 2: Convert to fraction form
    972.38/2,101.69 = 2,101.69/x
  3. Step 3: Cross multiply
    972.38x = 2,101.69 × 2,101.69
  4. Step 4: Simplify right side
    972.38x = 4,417,090.35
  5. Step 5: Solve for x
    x = 4,417,090.35/972.38
  6. Step 6: Final answer
    x = 4,542.58

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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.