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Finding the Third Proportional to 318,465 and 488,754

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Solution

The third proportional to 318,465 and 488,754 is: 750,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,465 : 488,754 = 488,754 : x
  2. Step 2: Convert to fraction form
    318,465/488,754 = 488,754/x
  3. Step 3: Cross multiply
    318,465x = 488,754 × 488,754
  4. Step 4: Simplify right side
    318,465x = 238,880,472,516
  5. Step 5: Solve for x
    x = 238,880,472,516/318,465
  6. Step 6: Final answer
    x = 750,099.61

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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.