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Finding the Third Proportional to 1,329.90 and 2,011.07

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Solution

The third proportional to 1,329.90 and 2,011.07 is: 3,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.90 : 2,011.07 = 2,011.07 : x
  2. Step 2: Convert to fraction form
    1,329.90/2,011.07 = 2,011.07/x
  3. Step 3: Cross multiply
    1,329.90x = 2,011.07 × 2,011.07
  4. Step 4: Simplify right side
    1,329.90x = 4,044,395.46
  5. Step 5: Solve for x
    x = 4,044,395.46/1,329.90
  6. Step 6: Final answer
    x = 3,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.