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Finding the Third Proportional to 131,762 and 289,765

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Solution

The third proportional to 131,762 and 289,765 is: 637,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,762 : 289,765 = 289,765 : x
  2. Step 2: Convert to fraction form
    131,762/289,765 = 289,765/x
  3. Step 3: Cross multiply
    131,762x = 289,765 × 289,765
  4. Step 4: Simplify right side
    131,762x = 83,963,755,225
  5. Step 5: Solve for x
    x = 83,963,755,225/131,762
  6. Step 6: Final answer
    x = 637,238.01

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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.