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Finding the Third Proportional to 286,284.85 and 616,553.17

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Solution

The third proportional to 286,284.85 and 616,553.17 is: 1,327,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,284.85 : 616,553.17 = 616,553.17 : x
  2. Step 2: Convert to fraction form
    286,284.85/616,553.17 = 616,553.17/x
  3. Step 3: Cross multiply
    286,284.85x = 616,553.17 × 616,553.17
  4. Step 4: Simplify right side
    286,284.85x = 380,137,816,157.53
  5. Step 5: Solve for x
    x = 380,137,816,157.53/286,284.85
  6. Step 6: Final answer
    x = 1,327,830.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.