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Finding the Third Proportional to 709,439.50 and 1,101,537.25

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Solution

The third proportional to 709,439.50 and 1,101,537.25 is: 1,710,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,439.50 : 1,101,537.25 = 1,101,537.25 : x
  2. Step 2: Convert to fraction form
    709,439.50/1,101,537.25 = 1,101,537.25/x
  3. Step 3: Cross multiply
    709,439.50x = 1,101,537.25 × 1,101,537.25
  4. Step 4: Simplify right side
    709,439.50x = 1,213,384,313,137.56
  5. Step 5: Solve for x
    x = 1,213,384,313,137.56/709,439.50
  6. Step 6: Final answer
    x = 1,710,342.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.