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Finding the Third Proportional to 216,066 and 286,711.50

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Solution

The third proportional to 216,066 and 286,711.50 is: 380,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,066 : 286,711.50 = 286,711.50 : x
  2. Step 2: Convert to fraction form
    216,066/286,711.50 = 286,711.50/x
  3. Step 3: Cross multiply
    216,066x = 286,711.50 × 286,711.50
  4. Step 4: Simplify right side
    216,066x = 82,203,484,232.25
  5. Step 5: Solve for x
    x = 82,203,484,232.25/216,066
  6. Step 6: Final answer
    x = 380,455.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.