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Finding the Third Proportional to 291,284 and 632,392

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Solution

The third proportional to 291,284 and 632,392 is: 1,372,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,284 : 632,392 = 632,392 : x
  2. Step 2: Convert to fraction form
    291,284/632,392 = 632,392/x
  3. Step 3: Cross multiply
    291,284x = 632,392 × 632,392
  4. Step 4: Simplify right side
    291,284x = 399,919,641,664
  5. Step 5: Solve for x
    x = 399,919,641,664/291,284
  6. Step 6: Final answer
    x = 1,372,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.