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Finding the Third Proportional to 133,306 and 289,210

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Solution

The third proportional to 133,306 and 289,210 is: 627,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,306 : 289,210 = 289,210 : x
  2. Step 2: Convert to fraction form
    133,306/289,210 = 289,210/x
  3. Step 3: Cross multiply
    133,306x = 289,210 × 289,210
  4. Step 4: Simplify right side
    133,306x = 83,642,424,100
  5. Step 5: Solve for x
    x = 83,642,424,100/133,306
  6. Step 6: Final answer
    x = 627,446.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.