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Finding the Third Proportional to 488,611 and 747,447

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Solution

The third proportional to 488,611 and 747,447 is: 1,143,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,611 : 747,447 = 747,447 : x
  2. Step 2: Convert to fraction form
    488,611/747,447 = 747,447/x
  3. Step 3: Cross multiply
    488,611x = 747,447 × 747,447
  4. Step 4: Simplify right side
    488,611x = 558,677,017,809
  5. Step 5: Solve for x
    x = 558,677,017,809/488,611
  6. Step 6: Final answer
    x = 1,143,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.