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Finding the Third Proportional to 380,709 and 846,519

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Solution

The third proportional to 380,709 and 846,519 is: 1,882,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,709 : 846,519 = 846,519 : x
  2. Step 2: Convert to fraction form
    380,709/846,519 = 846,519/x
  3. Step 3: Cross multiply
    380,709x = 846,519 × 846,519
  4. Step 4: Simplify right side
    380,709x = 716,594,417,361
  5. Step 5: Solve for x
    x = 716,594,417,361/380,709
  6. Step 6: Final answer
    x = 1,882,262.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.