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Finding the Third Proportional to 133,030.50 and 289,024.50

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Solution

The third proportional to 133,030.50 and 289,024.50 is: 627,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,030.50 : 289,024.50 = 289,024.50 : x
  2. Step 2: Convert to fraction form
    133,030.50/289,024.50 = 289,024.50/x
  3. Step 3: Cross multiply
    133,030.50x = 289,024.50 × 289,024.50
  4. Step 4: Simplify right side
    133,030.50x = 83,535,161,600.25
  5. Step 5: Solve for x
    x = 83,535,161,600.25/133,030.50
  6. Step 6: Final answer
    x = 627,939.92

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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.