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Finding the Third Proportional to 291,426 and 631,236

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Solution

The third proportional to 291,426 and 631,236 is: 1,367,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,426 : 631,236 = 631,236 : x
  2. Step 2: Convert to fraction form
    291,426/631,236 = 631,236/x
  3. Step 3: Cross multiply
    291,426x = 631,236 × 631,236
  4. Step 4: Simplify right side
    291,426x = 398,458,887,696
  5. Step 5: Solve for x
    x = 398,458,887,696/291,426
  6. Step 6: Final answer
    x = 1,367,272.95

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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.