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Finding the Third Proportional to 318,440 and 464,532

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Solution

The third proportional to 318,440 and 464,532 is: 677,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,440 : 464,532 = 464,532 : x
  2. Step 2: Convert to fraction form
    318,440/464,532 = 464,532/x
  3. Step 3: Cross multiply
    318,440x = 464,532 × 464,532
  4. Step 4: Simplify right side
    318,440x = 215,789,979,024
  5. Step 5: Solve for x
    x = 215,789,979,024/318,440
  6. Step 6: Final answer
    x = 677,647.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.