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Finding the Third Proportional to 311,939 and 472,310

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Solution

The third proportional to 311,939 and 472,310 is: 715,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,939 : 472,310 = 472,310 : x
  2. Step 2: Convert to fraction form
    311,939/472,310 = 472,310/x
  3. Step 3: Cross multiply
    311,939x = 472,310 × 472,310
  4. Step 4: Simplify right side
    311,939x = 223,076,736,100
  5. Step 5: Solve for x
    x = 223,076,736,100/311,939
  6. Step 6: Final answer
    x = 715,129.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.