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Finding the Third Proportional to 210,928 and 458,336

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Solution

The third proportional to 210,928 and 458,336 is: 995,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,928 : 458,336 = 458,336 : x
  2. Step 2: Convert to fraction form
    210,928/458,336 = 458,336/x
  3. Step 3: Cross multiply
    210,928x = 458,336 × 458,336
  4. Step 4: Simplify right side
    210,928x = 210,071,888,896
  5. Step 5: Solve for x
    x = 210,071,888,896/210,928
  6. Step 6: Final answer
    x = 995,941.22

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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.