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Finding the Third Proportional to 212,848 and 458,915

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Solution

The third proportional to 212,848 and 458,915 is: 989,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,848 : 458,915 = 458,915 : x
  2. Step 2: Convert to fraction form
    212,848/458,915 = 458,915/x
  3. Step 3: Cross multiply
    212,848x = 458,915 × 458,915
  4. Step 4: Simplify right side
    212,848x = 210,602,977,225
  5. Step 5: Solve for x
    x = 210,602,977,225/212,848
  6. Step 6: Final answer
    x = 989,452.46

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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.