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Finding the Third Proportional to 137,336 and 289,432

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Solution

The third proportional to 137,336 and 289,432 is: 609,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,336 : 289,432 = 289,432 : x
  2. Step 2: Convert to fraction form
    137,336/289,432 = 289,432/x
  3. Step 3: Cross multiply
    137,336x = 289,432 × 289,432
  4. Step 4: Simplify right side
    137,336x = 83,770,882,624
  5. Step 5: Solve for x
    x = 83,770,882,624/137,336
  6. Step 6: Final answer
    x = 609,970.31

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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.