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Finding the Third Proportional to 9,311,376.50 and 14,365,625

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Solution

The third proportional to 9,311,376.50 and 14,365,625 is: 22,163,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311,376.50 : 14,365,625 = 14,365,625 : x
  2. Step 2: Convert to fraction form
    9,311,376.50/14,365,625 = 14,365,625/x
  3. Step 3: Cross multiply
    9,311,376.50x = 14,365,625 × 14,365,625
  4. Step 4: Simplify right side
    9,311,376.50x = 206,371,181,640,625
  5. Step 5: Solve for x
    x = 206,371,181,640,625/9,311,376.50
  6. Step 6: Final answer
    x = 22,163,337.68

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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.