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Finding the Third Proportional to 30,984 and 47,136

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Solution

The third proportional to 30,984 and 47,136 is: 71,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984 : 47,136 = 47,136 : x
  2. Step 2: Convert to fraction form
    30,984/47,136 = 47,136/x
  3. Step 3: Cross multiply
    30,984x = 47,136 × 47,136
  4. Step 4: Simplify right side
    30,984x = 2,221,802,496
  5. Step 5: Solve for x
    x = 2,221,802,496/30,984
  6. Step 6: Final answer
    x = 71,708.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.