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Finding the Third Proportional to 131,527 and 289,865

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Solution

The third proportional to 131,527 and 289,865 is: 638,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,527 : 289,865 = 289,865 : x
  2. Step 2: Convert to fraction form
    131,527/289,865 = 289,865/x
  3. Step 3: Cross multiply
    131,527x = 289,865 × 289,865
  4. Step 4: Simplify right side
    131,527x = 84,021,718,225
  5. Step 5: Solve for x
    x = 84,021,718,225/131,527
  6. Step 6: Final answer
    x = 638,817.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.