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Finding the Third Proportional to 210,378 and 456,424

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Solution

The third proportional to 210,378 and 456,424 is: 990,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,378 : 456,424 = 456,424 : x
  2. Step 2: Convert to fraction form
    210,378/456,424 = 456,424/x
  3. Step 3: Cross multiply
    210,378x = 456,424 × 456,424
  4. Step 4: Simplify right side
    210,378x = 208,322,867,776
  5. Step 5: Solve for x
    x = 208,322,867,776/210,378
  6. Step 6: Final answer
    x = 990,231.24

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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.