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Finding the Third Proportional to 143,616 and 219,312

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Solution

The third proportional to 143,616 and 219,312 is: 334,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,616 : 219,312 = 219,312 : x
  2. Step 2: Convert to fraction form
    143,616/219,312 = 219,312/x
  3. Step 3: Cross multiply
    143,616x = 219,312 × 219,312
  4. Step 4: Simplify right side
    143,616x = 48,097,753,344
  5. Step 5: Solve for x
    x = 48,097,753,344/143,616
  6. Step 6: Final answer
    x = 334,905.26

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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.