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Finding the Third Proportional to 137,392.50 and 289,545

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Solution

The third proportional to 137,392.50 and 289,545 is: 610,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,392.50 : 289,545 = 289,545 : x
  2. Step 2: Convert to fraction form
    137,392.50/289,545 = 289,545/x
  3. Step 3: Cross multiply
    137,392.50x = 289,545 × 289,545
  4. Step 4: Simplify right side
    137,392.50x = 83,836,307,025
  5. Step 5: Solve for x
    x = 83,836,307,025/137,392.50
  6. Step 6: Final answer
    x = 610,195.66

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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.