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Finding the Third Proportional to 460,383 and 1,085,240.25

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Solution

The third proportional to 460,383 and 1,085,240.25 is: 2,558,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,383 : 1,085,240.25 = 1,085,240.25 : x
  2. Step 2: Convert to fraction form
    460,383/1,085,240.25 = 1,085,240.25/x
  3. Step 3: Cross multiply
    460,383x = 1,085,240.25 × 1,085,240.25
  4. Step 4: Simplify right side
    460,383x = 1,177,746,400,220.06
  5. Step 5: Solve for x
    x = 1,177,746,400,220.06/460,383
  6. Step 6: Final answer
    x = 2,558,188.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.