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Finding the Third Proportional to 137,458 and 289,668

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Solution

The third proportional to 137,458 and 289,668 is: 610,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,458 : 289,668 = 289,668 : x
  2. Step 2: Convert to fraction form
    137,458/289,668 = 289,668/x
  3. Step 3: Cross multiply
    137,458x = 289,668 × 289,668
  4. Step 4: Simplify right side
    137,458x = 83,907,550,224
  5. Step 5: Solve for x
    x = 83,907,550,224/137,458
  6. Step 6: Final answer
    x = 610,423.19

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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.