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Finding the Third Proportional to 310,519 and 439,473

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Solution

The third proportional to 310,519 and 439,473 is: 621,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,519 : 439,473 = 439,473 : x
  2. Step 2: Convert to fraction form
    310,519/439,473 = 439,473/x
  3. Step 3: Cross multiply
    310,519x = 439,473 × 439,473
  4. Step 4: Simplify right side
    310,519x = 193,136,517,729
  5. Step 5: Solve for x
    x = 193,136,517,729/310,519
  6. Step 6: Final answer
    x = 621,979.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.