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Finding the Third Proportional to 1,272.90 and 1,910.07

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Solution

The third proportional to 1,272.90 and 1,910.07 is: 2,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.90 : 1,910.07 = 1,910.07 : x
  2. Step 2: Convert to fraction form
    1,272.90/1,910.07 = 1,910.07/x
  3. Step 3: Cross multiply
    1,272.90x = 1,910.07 × 1,910.07
  4. Step 4: Simplify right side
    1,272.90x = 3,648,349.95
  5. Step 5: Solve for x
    x = 3,648,349.95/1,272.90
  6. Step 6: Final answer
    x = 2,866.17

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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.