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Finding the Third Proportional to 417,856 and 637,170

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Solution

The third proportional to 417,856 and 637,170 is: 971,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,856 : 637,170 = 637,170 : x
  2. Step 2: Convert to fraction form
    417,856/637,170 = 637,170/x
  3. Step 3: Cross multiply
    417,856x = 637,170 × 637,170
  4. Step 4: Simplify right side
    417,856x = 405,985,608,900
  5. Step 5: Solve for x
    x = 405,985,608,900/417,856
  6. Step 6: Final answer
    x = 971,592.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.