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Finding the Third Proportional to 756,900 and 1,138,509

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Solution

The third proportional to 756,900 and 1,138,509 is: 1,712,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,900 : 1,138,509 = 1,138,509 : x
  2. Step 2: Convert to fraction form
    756,900/1,138,509 = 1,138,509/x
  3. Step 3: Cross multiply
    756,900x = 1,138,509 × 1,138,509
  4. Step 4: Simplify right side
    756,900x = 1,296,202,743,081
  5. Step 5: Solve for x
    x = 1,296,202,743,081/756,900
  6. Step 6: Final answer
    x = 1,712,515.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.