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Finding the Third Proportional to 291,406 and 624,284

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Solution

The third proportional to 291,406 and 624,284 is: 1,337,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,406 : 624,284 = 624,284 : x
  2. Step 2: Convert to fraction form
    291,406/624,284 = 624,284/x
  3. Step 3: Cross multiply
    291,406x = 624,284 × 624,284
  4. Step 4: Simplify right side
    291,406x = 389,730,512,656
  5. Step 5: Solve for x
    x = 389,730,512,656/291,406
  6. Step 6: Final answer
    x = 1,337,414.17

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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.