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Finding the Third Proportional to 229,928 and 343,476

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Solution

The third proportional to 229,928 and 343,476 is: 513,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,928 : 343,476 = 343,476 : x
  2. Step 2: Convert to fraction form
    229,928/343,476 = 343,476/x
  3. Step 3: Cross multiply
    229,928x = 343,476 × 343,476
  4. Step 4: Simplify right side
    229,928x = 117,975,762,576
  5. Step 5: Solve for x
    x = 117,975,762,576/229,928
  6. Step 6: Final answer
    x = 513,098.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.