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Finding the Third Proportional to 131,246 and 289,564

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Solution

The third proportional to 131,246 and 289,564 is: 638,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,246 : 289,564 = 289,564 : x
  2. Step 2: Convert to fraction form
    131,246/289,564 = 289,564/x
  3. Step 3: Cross multiply
    131,246x = 289,564 × 289,564
  4. Step 4: Simplify right side
    131,246x = 83,847,310,096
  5. Step 5: Solve for x
    x = 83,847,310,096/131,246
  6. Step 6: Final answer
    x = 638,856.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.