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Finding the Third Proportional to 221,628 and 342,836

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Solution

The third proportional to 221,628 and 342,836 is: 530,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,628 : 342,836 = 342,836 : x
  2. Step 2: Convert to fraction form
    221,628/342,836 = 342,836/x
  3. Step 3: Cross multiply
    221,628x = 342,836 × 342,836
  4. Step 4: Simplify right side
    221,628x = 117,536,522,896
  5. Step 5: Solve for x
    x = 117,536,522,896/221,628
  6. Step 6: Final answer
    x = 530,332.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.