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Finding the Third Proportional to 109,412 and 235,564

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Solution

The third proportional to 109,412 and 235,564 is: 507,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412 : 235,564 = 235,564 : x
  2. Step 2: Convert to fraction form
    109,412/235,564 = 235,564/x
  3. Step 3: Cross multiply
    109,412x = 235,564 × 235,564
  4. Step 4: Simplify right side
    109,412x = 55,490,398,096
  5. Step 5: Solve for x
    x = 55,490,398,096/109,412
  6. Step 6: Final answer
    x = 507,169.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.