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Finding the Third Proportional to 137,412 and 289,578

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Solution

The third proportional to 137,412 and 289,578 is: 610,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412 : 289,578 = 289,578 : x
  2. Step 2: Convert to fraction form
    137,412/289,578 = 289,578/x
  3. Step 3: Cross multiply
    137,412x = 289,578 × 289,578
  4. Step 4: Simplify right side
    137,412x = 83,855,418,084
  5. Step 5: Solve for x
    x = 83,855,418,084/137,412
  6. Step 6: Final answer
    x = 610,248.14

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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.