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Finding the Third Proportional to 661.78 and 1,437.47

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Solution

The third proportional to 661.78 and 1,437.47 is: 3,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.78 : 1,437.47 = 1,437.47 : x
  2. Step 2: Convert to fraction form
    661.78/1,437.47 = 1,437.47/x
  3. Step 3: Cross multiply
    661.78x = 1,437.47 × 1,437.47
  4. Step 4: Simplify right side
    661.78x = 2,066,316.41
  5. Step 5: Solve for x
    x = 2,066,316.41/661.78
  6. Step 6: Final answer
    x = 3,122.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.