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Finding the Third Proportional to 7,311,206.25 and 10,220,990.63

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Solution

The third proportional to 7,311,206.25 and 10,220,990.63 is: 14,288,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311,206.25 : 10,220,990.63 = 10,220,990.63 : x
  2. Step 2: Convert to fraction form
    7,311,206.25/10,220,990.63 = 10,220,990.63/x
  3. Step 3: Cross multiply
    7,311,206.25x = 10,220,990.63 × 10,220,990.63
  4. Step 4: Simplify right side
    7,311,206.25x = 104,468,649,356,337.89
  5. Step 5: Solve for x
    x = 104,468,649,356,337.89/7,311,206.25
  6. Step 6: Final answer
    x = 14,288,839.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.