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Finding the Third Proportional to 321,894 and 464,265

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Solution

The third proportional to 321,894 and 464,265 is: 669,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,894 : 464,265 = 464,265 : x
  2. Step 2: Convert to fraction form
    321,894/464,265 = 464,265/x
  3. Step 3: Cross multiply
    321,894x = 464,265 × 464,265
  4. Step 4: Simplify right side
    321,894x = 215,541,990,225
  5. Step 5: Solve for x
    x = 215,541,990,225/321,894
  6. Step 6: Final answer
    x = 669,605.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.