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Finding the Third Proportional to 229,931 and 343,480

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Solution

The third proportional to 229,931 and 343,480 is: 513,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,931 : 343,480 = 343,480 : x
  2. Step 2: Convert to fraction form
    229,931/343,480 = 343,480/x
  3. Step 3: Cross multiply
    229,931x = 343,480 × 343,480
  4. Step 4: Simplify right side
    229,931x = 117,978,510,400
  5. Step 5: Solve for x
    x = 117,978,510,400/229,931
  6. Step 6: Final answer
    x = 513,103.98

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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.