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Finding the Third Proportional to 919.79 and 1,957.76

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Solution

The third proportional to 919.79 and 1,957.76 is: 4,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.79 : 1,957.76 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    919.79/1,957.76 = 1,957.76/x
  3. Step 3: Cross multiply
    919.79x = 1,957.76 × 1,957.76
  4. Step 4: Simplify right side
    919.79x = 3,832,838.59
  5. Step 5: Solve for x
    x = 3,832,838.59/919.79
  6. Step 6: Final answer
    x = 4,167.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.