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Finding the Third Proportional to 323,146 and 699,284

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Solution

The third proportional to 323,146 and 699,284 is: 1,513,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,146 : 699,284 = 699,284 : x
  2. Step 2: Convert to fraction form
    323,146/699,284 = 699,284/x
  3. Step 3: Cross multiply
    323,146x = 699,284 × 699,284
  4. Step 4: Simplify right side
    323,146x = 488,998,112,656
  5. Step 5: Solve for x
    x = 488,998,112,656/323,146
  6. Step 6: Final answer
    x = 1,513,242.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.