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Finding the Third Proportional to 417,400 and 559,176

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Solution

The third proportional to 417,400 and 559,176 is: 749,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,400 : 559,176 = 559,176 : x
  2. Step 2: Convert to fraction form
    417,400/559,176 = 559,176/x
  3. Step 3: Cross multiply
    417,400x = 559,176 × 559,176
  4. Step 4: Simplify right side
    417,400x = 312,677,798,976
  5. Step 5: Solve for x
    x = 312,677,798,976/417,400
  6. Step 6: Final answer
    x = 749,108.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.