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Finding the Third Proportional to 132,112,314 and 276,270,624

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Solution

The third proportional to 132,112,314 and 276,270,624 is: 577,731,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,112,314 : 276,270,624 = 276,270,624 : x
  2. Step 2: Convert to fraction form
    132,112,314/276,270,624 = 276,270,624/x
  3. Step 3: Cross multiply
    132,112,314x = 276,270,624 × 276,270,624
  4. Step 4: Simplify right side
    132,112,314x = 76,325,457,685,349,376
  5. Step 5: Solve for x
    x = 76,325,457,685,349,376/132,112,314
  6. Step 6: Final answer
    x = 577,731,593.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.