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Finding the Third Proportional to 318,431.25 and 464,521.50

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Solution

The third proportional to 318,431.25 and 464,521.50 is: 677,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,431.25 : 464,521.50 = 464,521.50 : x
  2. Step 2: Convert to fraction form
    318,431.25/464,521.50 = 464,521.50/x
  3. Step 3: Cross multiply
    318,431.25x = 464,521.50 × 464,521.50
  4. Step 4: Simplify right side
    318,431.25x = 215,780,223,962.25
  5. Step 5: Solve for x
    x = 215,780,223,962.25/318,431.25
  6. Step 6: Final answer
    x = 677,635.20

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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.