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Finding the Third Proportional to 103,453,394 and 172,415,109

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Solution

The third proportional to 103,453,394 and 172,415,109 is: 287,346,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453,394 : 172,415,109 = 172,415,109 : x
  2. Step 2: Convert to fraction form
    103,453,394/172,415,109 = 172,415,109/x
  3. Step 3: Cross multiply
    103,453,394x = 172,415,109 × 172,415,109
  4. Step 4: Simplify right side
    103,453,394x = 29,726,969,811,481,880
  5. Step 5: Solve for x
    x = 29,726,969,811,481,880/103,453,394
  6. Step 6: Final answer
    x = 287,346,491.61

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.