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Finding the Third Proportional to 100,758,720 and 208,687,488

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Solution

The third proportional to 100,758,720 and 208,687,488 is: 432,225,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758,720 : 208,687,488 = 208,687,488 : x
  2. Step 2: Convert to fraction form
    100,758,720/208,687,488 = 208,687,488/x
  3. Step 3: Cross multiply
    100,758,720x = 208,687,488 × 208,687,488
  4. Step 4: Simplify right side
    100,758,720x = 43,550,467,647,750,144
  5. Step 5: Solve for x
    x = 43,550,467,647,750,144/100,758,720
  6. Step 6: Final answer
    x = 432,225,296.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.