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Finding the Third Proportional to 318,809 and 488,460

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Solution

The third proportional to 318,809 and 488,460 is: 748,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,809 : 488,460 = 488,460 : x
  2. Step 2: Convert to fraction form
    318,809/488,460 = 488,460/x
  3. Step 3: Cross multiply
    318,809x = 488,460 × 488,460
  4. Step 4: Simplify right side
    318,809x = 238,593,171,600
  5. Step 5: Solve for x
    x = 238,593,171,600/318,809
  6. Step 6: Final answer
    x = 748,389.07

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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.