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Finding the Third Proportional to 69,312 and 151,056

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Solution

The third proportional to 69,312 and 151,056 is: 329,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,312 : 151,056 = 151,056 : x
  2. Step 2: Convert to fraction form
    69,312/151,056 = 151,056/x
  3. Step 3: Cross multiply
    69,312x = 151,056 × 151,056
  4. Step 4: Simplify right side
    69,312x = 22,817,915,136
  5. Step 5: Solve for x
    x = 22,817,915,136/69,312
  6. Step 6: Final answer
    x = 329,205.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.