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Finding the Third Proportional to 102,215 and 156,616

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Solution

The third proportional to 102,215 and 156,616 is: 239,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215 : 156,616 = 156,616 : x
  2. Step 2: Convert to fraction form
    102,215/156,616 = 156,616/x
  3. Step 3: Cross multiply
    102,215x = 156,616 × 156,616
  4. Step 4: Simplify right side
    102,215x = 24,528,571,456
  5. Step 5: Solve for x
    x = 24,528,571,456/102,215
  6. Step 6: Final answer
    x = 239,970.37

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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.