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Finding the Third Proportional to 475.50 and 719.81

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Solution

The third proportional to 475.50 and 719.81 is: 1,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 719.81 = 719.81 : x
  2. Step 2: Convert to fraction form
    475.50/719.81 = 719.81/x
  3. Step 3: Cross multiply
    475.50x = 719.81 × 719.81
  4. Step 4: Simplify right side
    475.50x = 518,130.04
  5. Step 5: Solve for x
    x = 518,130.04/475.50
  6. Step 6: Final answer
    x = 1,089.65

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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.