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Finding the Third Proportional to 210,723 and 456,438

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Solution

The third proportional to 210,723 and 456,438 is: 988,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,723 : 456,438 = 456,438 : x
  2. Step 2: Convert to fraction form
    210,723/456,438 = 456,438/x
  3. Step 3: Cross multiply
    210,723x = 456,438 × 456,438
  4. Step 4: Simplify right side
    210,723x = 208,335,647,844
  5. Step 5: Solve for x
    x = 208,335,647,844/210,723
  6. Step 6: Final answer
    x = 988,670.66

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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.