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Finding the Third Proportional to 133,117.50 and 289,563

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Solution

The third proportional to 133,117.50 and 289,563 is: 629,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,117.50 : 289,563 = 289,563 : x
  2. Step 2: Convert to fraction form
    133,117.50/289,563 = 289,563/x
  3. Step 3: Cross multiply
    133,117.50x = 289,563 × 289,563
  4. Step 4: Simplify right side
    133,117.50x = 83,846,730,969
  5. Step 5: Solve for x
    x = 83,846,730,969/133,117.50
  6. Step 6: Final answer
    x = 629,870.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.