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Finding the Third Proportional to 250,132,145 and 543,323,121

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Solution

The third proportional to 250,132,145 and 543,323,121 is: 1,180,176,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,132,145 : 543,323,121 = 543,323,121 : x
  2. Step 2: Convert to fraction form
    250,132,145/543,323,121 = 543,323,121/x
  3. Step 3: Cross multiply
    250,132,145x = 543,323,121 × 543,323,121
  4. Step 4: Simplify right side
    250,132,145x = 295,200,013,813,180,672
  5. Step 5: Solve for x
    x = 295,200,013,813,180,672/250,132,145
  6. Step 6: Final answer
    x = 1,180,176,237.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.