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Finding the Third Proportional to 326,178 and 459,329

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Solution

The third proportional to 326,178 and 459,329 is: 646,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,178 : 459,329 = 459,329 : x
  2. Step 2: Convert to fraction form
    326,178/459,329 = 459,329/x
  3. Step 3: Cross multiply
    326,178x = 459,329 × 459,329
  4. Step 4: Simplify right side
    326,178x = 210,983,130,241
  5. Step 5: Solve for x
    x = 210,983,130,241/326,178
  6. Step 6: Final answer
    x = 646,834.34

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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.