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Finding the Third Proportional to 143,617 and 219,313

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Solution

The third proportional to 143,617 and 219,313 is: 334,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,617 : 219,313 = 219,313 : x
  2. Step 2: Convert to fraction form
    143,617/219,313 = 219,313/x
  3. Step 3: Cross multiply
    143,617x = 219,313 × 219,313
  4. Step 4: Simplify right side
    143,617x = 48,098,191,969
  5. Step 5: Solve for x
    x = 48,098,191,969/143,617
  6. Step 6: Final answer
    x = 334,905.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.