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Finding the Third Proportional to 476,283 and 646,846

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Solution

The third proportional to 476,283 and 646,846 is: 878,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,283 : 646,846 = 646,846 : x
  2. Step 2: Convert to fraction form
    476,283/646,846 = 646,846/x
  3. Step 3: Cross multiply
    476,283x = 646,846 × 646,846
  4. Step 4: Simplify right side
    476,283x = 418,409,747,716
  5. Step 5: Solve for x
    x = 418,409,747,716/476,283
  6. Step 6: Final answer
    x = 878,489.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.