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Finding the Third Proportional to 4,142 and 9,136

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Solution

The third proportional to 4,142 and 9,136 is: 20,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 9,136 = 9,136 : x
  2. Step 2: Convert to fraction form
    4,142/9,136 = 9,136/x
  3. Step 3: Cross multiply
    4,142x = 9,136 × 9,136
  4. Step 4: Simplify right side
    4,142x = 83,466,496
  5. Step 5: Solve for x
    x = 83,466,496/4,142
  6. Step 6: Final answer
    x = 20,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.