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Finding the Third Proportional to 5,160,969 and 7,218,337.50

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Solution

The third proportional to 5,160,969 and 7,218,337.50 is: 10,095,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160,969 : 7,218,337.50 = 7,218,337.50 : x
  2. Step 2: Convert to fraction form
    5,160,969/7,218,337.50 = 7,218,337.50/x
  3. Step 3: Cross multiply
    5,160,969x = 7,218,337.50 × 7,218,337.50
  4. Step 4: Simplify right side
    5,160,969x = 52,104,396,263,906.25
  5. Step 5: Solve for x
    x = 52,104,396,263,906.25/5,160,969
  6. Step 6: Final answer
    x = 10,095,855.31

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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.