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Finding the Third Proportional to 152,936 and 330,472

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Solution

The third proportional to 152,936 and 330,472 is: 714,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,936 : 330,472 = 330,472 : x
  2. Step 2: Convert to fraction form
    152,936/330,472 = 330,472/x
  3. Step 3: Cross multiply
    152,936x = 330,472 × 330,472
  4. Step 4: Simplify right side
    152,936x = 109,211,742,784
  5. Step 5: Solve for x
    x = 109,211,742,784/152,936
  6. Step 6: Final answer
    x = 714,100.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.