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Finding the Third Proportional to 289,702.13 and 389,839.50

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Solution

The third proportional to 289,702.13 and 389,839.50 is: 524,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,702.13 : 389,839.50 = 389,839.50 : x
  2. Step 2: Convert to fraction form
    289,702.13/389,839.50 = 389,839.50/x
  3. Step 3: Cross multiply
    289,702.13x = 389,839.50 × 389,839.50
  4. Step 4: Simplify right side
    289,702.13x = 151,974,835,760.25
  5. Step 5: Solve for x
    x = 151,974,835,760.25/289,702.13
  6. Step 6: Final answer
    x = 524,589.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.