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Finding the Third Proportional to 221,816 and 310,436

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Solution

The third proportional to 221,816 and 310,436 is: 434,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,816 : 310,436 = 310,436 : x
  2. Step 2: Convert to fraction form
    221,816/310,436 = 310,436/x
  3. Step 3: Cross multiply
    221,816x = 310,436 × 310,436
  4. Step 4: Simplify right side
    221,816x = 96,370,510,096
  5. Step 5: Solve for x
    x = 96,370,510,096/221,816
  6. Step 6: Final answer
    x = 434,461.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.