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Finding the Third Proportional to 137,389.50 and 289,539

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Solution

The third proportional to 137,389.50 and 289,539 is: 610,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,389.50 : 289,539 = 289,539 : x
  2. Step 2: Convert to fraction form
    137,389.50/289,539 = 289,539/x
  3. Step 3: Cross multiply
    137,389.50x = 289,539 × 289,539
  4. Step 4: Simplify right side
    137,389.50x = 83,832,832,521
  5. Step 5: Solve for x
    x = 83,832,832,521/137,389.50
  6. Step 6: Final answer
    x = 610,183.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.