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Finding the Third Proportional to 212,617 and 319,887

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Solution

The third proportional to 212,617 and 319,887 is: 481,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,617 : 319,887 = 319,887 : x
  2. Step 2: Convert to fraction form
    212,617/319,887 = 319,887/x
  3. Step 3: Cross multiply
    212,617x = 319,887 × 319,887
  4. Step 4: Simplify right side
    212,617x = 102,327,692,769
  5. Step 5: Solve for x
    x = 102,327,692,769/212,617
  6. Step 6: Final answer
    x = 481,277.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.