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Finding the Third Proportional to 326,490 and 366,972

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Solution

The third proportional to 326,490 and 366,972 is: 412,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,490 : 366,972 = 366,972 : x
  2. Step 2: Convert to fraction form
    326,490/366,972 = 366,972/x
  3. Step 3: Cross multiply
    326,490x = 366,972 × 366,972
  4. Step 4: Simplify right side
    326,490x = 134,668,448,784
  5. Step 5: Solve for x
    x = 134,668,448,784/326,490
  6. Step 6: Final answer
    x = 412,473.43

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.