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Finding the Third Proportional to 216,289 and 289,318.50

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Solution

The third proportional to 216,289 and 289,318.50 is: 387,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,289 : 289,318.50 = 289,318.50 : x
  2. Step 2: Convert to fraction form
    216,289/289,318.50 = 289,318.50/x
  3. Step 3: Cross multiply
    216,289x = 289,318.50 × 289,318.50
  4. Step 4: Simplify right side
    216,289x = 83,705,194,442.25
  5. Step 5: Solve for x
    x = 83,705,194,442.25/216,289
  6. Step 6: Final answer
    x = 387,006.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.