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Finding the Third Proportional to 3,712,443.50 and 5,907,286.50

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Solution

The third proportional to 3,712,443.50 and 5,907,286.50 is: 9,399,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712,443.50 : 5,907,286.50 = 5,907,286.50 : x
  2. Step 2: Convert to fraction form
    3,712,443.50/5,907,286.50 = 5,907,286.50/x
  3. Step 3: Cross multiply
    3,712,443.50x = 5,907,286.50 × 5,907,286.50
  4. Step 4: Simplify right side
    3,712,443.50x = 34,896,033,793,082.25
  5. Step 5: Solve for x
    x = 34,896,033,793,082.25/3,712,443.50
  6. Step 6: Final answer
    x = 9,399,748.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.