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Finding the Third Proportional to 216,291 and 336,074

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Solution

The third proportional to 216,291 and 336,074 is: 522,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,291 : 336,074 = 336,074 : x
  2. Step 2: Convert to fraction form
    216,291/336,074 = 336,074/x
  3. Step 3: Cross multiply
    216,291x = 336,074 × 336,074
  4. Step 4: Simplify right side
    216,291x = 112,945,733,476
  5. Step 5: Solve for x
    x = 112,945,733,476/216,291
  6. Step 6: Final answer
    x = 522,193.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.