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Finding the Third Proportional to 756,905 and 1,138,517

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Solution

The third proportional to 756,905 and 1,138,517 is: 1,712,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,905 : 1,138,517 = 1,138,517 : x
  2. Step 2: Convert to fraction form
    756,905/1,138,517 = 1,138,517/x
  3. Step 3: Cross multiply
    756,905x = 1,138,517 × 1,138,517
  4. Step 4: Simplify right side
    756,905x = 1,296,220,959,289
  5. Step 5: Solve for x
    x = 1,296,220,959,289/756,905
  6. Step 6: Final answer
    x = 1,712,527.94

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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.