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Finding the Third Proportional to 417,396 and 559,170

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Solution

The third proportional to 417,396 and 559,170 is: 749,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,396 : 559,170 = 559,170 : x
  2. Step 2: Convert to fraction form
    417,396/559,170 = 559,170/x
  3. Step 3: Cross multiply
    417,396x = 559,170 × 559,170
  4. Step 4: Simplify right side
    417,396x = 312,671,088,900
  5. Step 5: Solve for x
    x = 312,671,088,900/417,396
  6. Step 6: Final answer
    x = 749,099.39

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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.