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Finding the Third Proportional to 305.02 and 719.82

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Solution

The third proportional to 305.02 and 719.82 is: 1,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 719.82 = 719.82 : x
  2. Step 2: Convert to fraction form
    305.02/719.82 = 719.82/x
  3. Step 3: Cross multiply
    305.02x = 719.82 × 719.82
  4. Step 4: Simplify right side
    305.02x = 518,146.91
  5. Step 5: Solve for x
    x = 518,146.91/305.02
  6. Step 6: Final answer
    x = 1,698.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.