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Finding the Third Proportional to 472,442 and 717,407

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Solution

The third proportional to 472,442 and 717,407 is: 1,089,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,442 : 717,407 = 717,407 : x
  2. Step 2: Convert to fraction form
    472,442/717,407 = 717,407/x
  3. Step 3: Cross multiply
    472,442x = 717,407 × 717,407
  4. Step 4: Simplify right side
    472,442x = 514,672,803,649
  5. Step 5: Solve for x
    x = 514,672,803,649/472,442
  6. Step 6: Final answer
    x = 1,089,388.33

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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.