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Finding the Third Proportional to 464.38 and 719.88

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Solution

The third proportional to 464.38 and 719.88 is: 1,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.38 : 719.88 = 719.88 : x
  2. Step 2: Convert to fraction form
    464.38/719.88 = 719.88/x
  3. Step 3: Cross multiply
    464.38x = 719.88 × 719.88
  4. Step 4: Simplify right side
    464.38x = 518,220.02
  5. Step 5: Solve for x
    x = 518,220.02/464.38
  6. Step 6: Final answer
    x = 1,115.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.