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Finding the Third Proportional to 971.58 and 1,500.40

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Solution

The third proportional to 971.58 and 1,500.40 is: 2,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.58 : 1,500.40 = 1,500.40 : x
  2. Step 2: Convert to fraction form
    971.58/1,500.40 = 1,500.40/x
  3. Step 3: Cross multiply
    971.58x = 1,500.40 × 1,500.40
  4. Step 4: Simplify right side
    971.58x = 2,251,195.47
  5. Step 5: Solve for x
    x = 2,251,195.47/971.58
  6. Step 6: Final answer
    x = 2,317.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.