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Finding the Third Proportional to 337,903.50 and 472,410

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Solution

The third proportional to 337,903.50 and 472,410 is: 660,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,903.50 : 472,410 = 472,410 : x
  2. Step 2: Convert to fraction form
    337,903.50/472,410 = 472,410/x
  3. Step 3: Cross multiply
    337,903.50x = 472,410 × 472,410
  4. Step 4: Simplify right side
    337,903.50x = 223,171,208,100
  5. Step 5: Solve for x
    x = 223,171,208,100/337,903.50
  6. Step 6: Final answer
    x = 660,458.41

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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.