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Finding the Third Proportional to 291,040 and 633,904

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Solution

The third proportional to 291,040 and 633,904 is: 1,380,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,040 : 633,904 = 633,904 : x
  2. Step 2: Convert to fraction form
    291,040/633,904 = 633,904/x
  3. Step 3: Cross multiply
    291,040x = 633,904 × 633,904
  4. Step 4: Simplify right side
    291,040x = 401,834,281,216
  5. Step 5: Solve for x
    x = 401,834,281,216/291,040
  6. Step 6: Final answer
    x = 1,380,684.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.