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Finding the Third Proportional to 318,553 and 480,288

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Solution

The third proportional to 318,553 and 480,288 is: 724,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,553 : 480,288 = 480,288 : x
  2. Step 2: Convert to fraction form
    318,553/480,288 = 480,288/x
  3. Step 3: Cross multiply
    318,553x = 480,288 × 480,288
  4. Step 4: Simplify right side
    318,553x = 230,676,562,944
  5. Step 5: Solve for x
    x = 230,676,562,944/318,553
  6. Step 6: Final answer
    x = 724,138.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.