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Finding the Third Proportional to 5,389,765.39 and 8,148,953.15

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Solution

The third proportional to 5,389,765.39 and 8,148,953.15 is: 12,320,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,765.39 : 8,148,953.15 = 8,148,953.15 : x
  2. Step 2: Convert to fraction form
    5,389,765.39/8,148,953.15 = 8,148,953.15/x
  3. Step 3: Cross multiply
    5,389,765.39x = 8,148,953.15 × 8,148,953.15
  4. Step 4: Simplify right side
    5,389,765.39x = 66,405,437,423,390.98
  5. Step 5: Solve for x
    x = 66,405,437,423,390.98/5,389,765.39
  6. Step 6: Final answer
    x = 12,320,654.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.