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Finding the Third Proportional to 478,881 and 717,003

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Solution

The third proportional to 478,881 and 717,003 is: 1,073,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,881 : 717,003 = 717,003 : x
  2. Step 2: Convert to fraction form
    478,881/717,003 = 717,003/x
  3. Step 3: Cross multiply
    478,881x = 717,003 × 717,003
  4. Step 4: Simplify right side
    478,881x = 514,093,302,009
  5. Step 5: Solve for x
    x = 514,093,302,009/478,881
  6. Step 6: Final answer
    x = 1,073,530.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.