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Finding the Third Proportional to 91,083,694.50 and 140,109,675.75

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Solution

The third proportional to 91,083,694.50 and 140,109,675.75 is: 215,523,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,083,694.50 : 140,109,675.75 = 140,109,675.75 : x
  2. Step 2: Convert to fraction form
    91,083,694.50/140,109,675.75 = 140,109,675.75/x
  3. Step 3: Cross multiply
    91,083,694.50x = 140,109,675.75 × 140,109,675.75
  4. Step 4: Simplify right side
    91,083,694.50x = 19,630,721,238,770,140
  5. Step 5: Solve for x
    x = 19,630,721,238,770,140/91,083,694.50
  6. Step 6: Final answer
    x = 215,523,989.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.