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Finding the Third Proportional to 1,001.53 and 1,409.91

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Solution

The third proportional to 1,001.53 and 1,409.91 is: 1,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.53 : 1,409.91 = 1,409.91 : x
  2. Step 2: Convert to fraction form
    1,001.53/1,409.91 = 1,409.91/x
  3. Step 3: Cross multiply
    1,001.53x = 1,409.91 × 1,409.91
  4. Step 4: Simplify right side
    1,001.53x = 1,987,835.63
  5. Step 5: Solve for x
    x = 1,987,835.63/1,001.53
  6. Step 6: Final answer
    x = 1,984.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.