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Finding the Third Proportional to 210,619 and 456,986

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Solution

The third proportional to 210,619 and 456,986 is: 991,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,619 : 456,986 = 456,986 : x
  2. Step 2: Convert to fraction form
    210,619/456,986 = 456,986/x
  3. Step 3: Cross multiply
    210,619x = 456,986 × 456,986
  4. Step 4: Simplify right side
    210,619x = 208,836,204,196
  5. Step 5: Solve for x
    x = 208,836,204,196/210,619
  6. Step 6: Final answer
    x = 991,535.45

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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.