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Finding the Third Proportional to 207,286 and 439,482

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Solution

The third proportional to 207,286 and 439,482 is: 931,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,286 : 439,482 = 439,482 : x
  2. Step 2: Convert to fraction form
    207,286/439,482 = 439,482/x
  3. Step 3: Cross multiply
    207,286x = 439,482 × 439,482
  4. Step 4: Simplify right side
    207,286x = 193,144,428,324
  5. Step 5: Solve for x
    x = 193,144,428,324/207,286
  6. Step 6: Final answer
    x = 931,777.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.