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Finding the Third Proportional to 131,232 and 289,536

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Solution

The third proportional to 131,232 and 289,536 is: 638,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,232 : 289,536 = 289,536 : x
  2. Step 2: Convert to fraction form
    131,232/289,536 = 289,536/x
  3. Step 3: Cross multiply
    131,232x = 289,536 × 289,536
  4. Step 4: Simplify right side
    131,232x = 83,831,095,296
  5. Step 5: Solve for x
    x = 83,831,095,296/131,232
  6. Step 6: Final answer
    x = 638,800.71

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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.