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Finding the Third Proportional to 69,148 and 148,136

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Solution

The third proportional to 69,148 and 148,136 is: 317,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,148 : 148,136 = 148,136 : x
  2. Step 2: Convert to fraction form
    69,148/148,136 = 148,136/x
  3. Step 3: Cross multiply
    69,148x = 148,136 × 148,136
  4. Step 4: Simplify right side
    69,148x = 21,944,274,496
  5. Step 5: Solve for x
    x = 21,944,274,496/69,148
  6. Step 6: Final answer
    x = 317,352.27

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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.