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Finding the Third Proportional to 210,717 and 456,426

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Solution

The third proportional to 210,717 and 456,426 is: 988,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,717 : 456,426 = 456,426 : x
  2. Step 2: Convert to fraction form
    210,717/456,426 = 456,426/x
  3. Step 3: Cross multiply
    210,717x = 456,426 × 456,426
  4. Step 4: Simplify right side
    210,717x = 208,324,693,476
  5. Step 5: Solve for x
    x = 208,324,693,476/210,717
  6. Step 6: Final answer
    x = 988,646.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.