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Finding the Third Proportional to 1,051.42 and 1,580.13

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Solution

The third proportional to 1,051.42 and 1,580.13 is: 2,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.42 : 1,580.13 = 1,580.13 : x
  2. Step 2: Convert to fraction form
    1,051.42/1,580.13 = 1,580.13/x
  3. Step 3: Cross multiply
    1,051.42x = 1,580.13 × 1,580.13
  4. Step 4: Simplify right side
    1,051.42x = 2,496,819.71
  5. Step 5: Solve for x
    x = 2,496,819.71/1,051.42
  6. Step 6: Final answer
    x = 2,374.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.