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Finding the Third Proportional to 931.78 and 1,488.09

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Solution

The third proportional to 931.78 and 1,488.09 is: 2,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.78 : 1,488.09 = 1,488.09 : x
  2. Step 2: Convert to fraction form
    931.78/1,488.09 = 1,488.09/x
  3. Step 3: Cross multiply
    931.78x = 1,488.09 × 1,488.09
  4. Step 4: Simplify right side
    931.78x = 2,214,423.01
  5. Step 5: Solve for x
    x = 2,214,423.01/931.78
  6. Step 6: Final answer
    x = 2,376.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.