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Finding the Third Proportional to 286,318 and 646,872

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Solution

The third proportional to 286,318 and 646,872 is: 1,461,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,318 : 646,872 = 646,872 : x
  2. Step 2: Convert to fraction form
    286,318/646,872 = 646,872/x
  3. Step 3: Cross multiply
    286,318x = 646,872 × 646,872
  4. Step 4: Simplify right side
    286,318x = 418,443,384,384
  5. Step 5: Solve for x
    x = 418,443,384,384/286,318
  6. Step 6: Final answer
    x = 1,461,463.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.