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Finding the Third Proportional to 212,850 and 458,919

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Solution

The third proportional to 212,850 and 458,919 is: 989,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850 : 458,919 = 458,919 : x
  2. Step 2: Convert to fraction form
    212,850/458,919 = 458,919/x
  3. Step 3: Cross multiply
    212,850x = 458,919 × 458,919
  4. Step 4: Simplify right side
    212,850x = 210,606,648,561
  5. Step 5: Solve for x
    x = 210,606,648,561/212,850
  6. Step 6: Final answer
    x = 989,460.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.