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Finding the Third Proportional to 84,380,156.25 and 126,794,894.63

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Solution

The third proportional to 84,380,156.25 and 126,794,894.63 is: 190,529,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380,156.25 : 126,794,894.63 = 126,794,894.63 : x
  2. Step 2: Convert to fraction form
    84,380,156.25/126,794,894.63 = 126,794,894.63/x
  3. Step 3: Cross multiply
    84,380,156.25x = 126,794,894.63 × 126,794,894.63
  4. Step 4: Simplify right side
    84,380,156.25x = 16,076,945,302,964,854
  5. Step 5: Solve for x
    x = 16,076,945,302,964,854/84,380,156.25
  6. Step 6: Final answer
    x = 190,529,930.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.