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Finding the Third Proportional to 129,375,857.81 and 280,580,709.38

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Solution

The third proportional to 129,375,857.81 and 280,580,709.38 is: 608,502,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,375,857.81 : 280,580,709.38 = 280,580,709.38 : x
  2. Step 2: Convert to fraction form
    129,375,857.81/280,580,709.38 = 280,580,709.38/x
  3. Step 3: Cross multiply
    129,375,857.81x = 280,580,709.38 × 280,580,709.38
  4. Step 4: Simplify right side
    129,375,857.81x = 78,725,534,473,378,208
  5. Step 5: Solve for x
    x = 78,725,534,473,378,208/129,375,857.81
  6. Step 6: Final answer
    x = 608,502,512.02

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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.