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Finding the Third Proportional to 911,009 and 1,331,400

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Solution

The third proportional to 911,009 and 1,331,400 is: 1,945,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,009 : 1,331,400 = 1,331,400 : x
  2. Step 2: Convert to fraction form
    911,009/1,331,400 = 1,331,400/x
  3. Step 3: Cross multiply
    911,009x = 1,331,400 × 1,331,400
  4. Step 4: Simplify right side
    911,009x = 1,772,625,960,000
  5. Step 5: Solve for x
    x = 1,772,625,960,000/911,009
  6. Step 6: Final answer
    x = 1,945,783.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.