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Finding the Third Proportional to 612.24 and 919.71

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Solution

The third proportional to 612.24 and 919.71 is: 1,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 919.71 = 919.71 : x
  2. Step 2: Convert to fraction form
    612.24/919.71 = 919.71/x
  3. Step 3: Cross multiply
    612.24x = 919.71 × 919.71
  4. Step 4: Simplify right side
    612.24x = 845,870.76
  5. Step 5: Solve for x
    x = 845,870.76/612.24
  6. Step 6: Final answer
    x = 1,381.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.