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Finding the Third Proportional to 306,728.49 and 655,205.04

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Solution

The third proportional to 306,728.49 and 655,205.04 is: 1,399,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,728.49 : 655,205.04 = 655,205.04 : x
  2. Step 2: Convert to fraction form
    306,728.49/655,205.04 = 655,205.04/x
  3. Step 3: Cross multiply
    306,728.49x = 655,205.04 × 655,205.04
  4. Step 4: Simplify right side
    306,728.49x = 429,293,650,891.06
  5. Step 5: Solve for x
    x = 429,293,650,891.06/306,728.49
  6. Step 6: Final answer
    x = 1,399,588.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.