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Finding the Third Proportional to 972.13 and 1,278.38

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Solution

The third proportional to 972.13 and 1,278.38 is: 1,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.13 : 1,278.38 = 1,278.38 : x
  2. Step 2: Convert to fraction form
    972.13/1,278.38 = 1,278.38/x
  3. Step 3: Cross multiply
    972.13x = 1,278.38 × 1,278.38
  4. Step 4: Simplify right side
    972.13x = 1,634,242.64
  5. Step 5: Solve for x
    x = 1,634,242.64/972.13
  6. Step 6: Final answer
    x = 1,681.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.