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Finding the Third Proportional to 56,416 and 120,209

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Solution

The third proportional to 56,416 and 120,209 is: 256,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416 : 120,209 = 120,209 : x
  2. Step 2: Convert to fraction form
    56,416/120,209 = 120,209/x
  3. Step 3: Cross multiply
    56,416x = 120,209 × 120,209
  4. Step 4: Simplify right side
    56,416x = 14,450,203,681
  5. Step 5: Solve for x
    x = 14,450,203,681/56,416
  6. Step 6: Final answer
    x = 256,136.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.