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Finding the Third Proportional to 450,694.13 and 687,409.03

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Solution

The third proportional to 450,694.13 and 687,409.03 is: 1,048,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,694.13 : 687,409.03 = 687,409.03 : x
  2. Step 2: Convert to fraction form
    450,694.13/687,409.03 = 687,409.03/x
  3. Step 3: Cross multiply
    450,694.13x = 687,409.03 × 687,409.03
  4. Step 4: Simplify right side
    450,694.13x = 472,531,176,244.06
  5. Step 5: Solve for x
    x = 472,531,176,244.06/450,694.13
  6. Step 6: Final answer
    x = 1,048,452.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.