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Finding the Third Proportional to 318,688 and 480,500

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Solution

The third proportional to 318,688 and 480,500 is: 724,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,688 : 480,500 = 480,500 : x
  2. Step 2: Convert to fraction form
    318,688/480,500 = 480,500/x
  3. Step 3: Cross multiply
    318,688x = 480,500 × 480,500
  4. Step 4: Simplify right side
    318,688x = 230,880,250,000
  5. Step 5: Solve for x
    x = 230,880,250,000/318,688
  6. Step 6: Final answer
    x = 724,471.11

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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.