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Finding the Third Proportional to 216,432 and 308,880

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Solution

The third proportional to 216,432 and 308,880 is: 440,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,432 : 308,880 = 308,880 : x
  2. Step 2: Convert to fraction form
    216,432/308,880 = 308,880/x
  3. Step 3: Cross multiply
    216,432x = 308,880 × 308,880
  4. Step 4: Simplify right side
    216,432x = 95,406,854,400
  5. Step 5: Solve for x
    x = 95,406,854,400/216,432
  6. Step 6: Final answer
    x = 440,816.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.