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Finding the Third Proportional to 121,661 and 260,136

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Solution

The third proportional to 121,661 and 260,136 is: 556,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,661 : 260,136 = 260,136 : x
  2. Step 2: Convert to fraction form
    121,661/260,136 = 260,136/x
  3. Step 3: Cross multiply
    121,661x = 260,136 × 260,136
  4. Step 4: Simplify right side
    121,661x = 67,670,738,496
  5. Step 5: Solve for x
    x = 67,670,738,496/121,661
  6. Step 6: Final answer
    x = 556,223.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.