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Finding the Third Proportional to 326,306 and 459,518

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Solution

The third proportional to 326,306 and 459,518 is: 647,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,306 : 459,518 = 459,518 : x
  2. Step 2: Convert to fraction form
    326,306/459,518 = 459,518/x
  3. Step 3: Cross multiply
    326,306x = 459,518 × 459,518
  4. Step 4: Simplify right side
    326,306x = 211,156,792,324
  5. Step 5: Solve for x
    x = 211,156,792,324/326,306
  6. Step 6: Final answer
    x = 647,112.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.