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Finding the Third Proportional to 648,999 and 1,409,946

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Solution

The third proportional to 648,999 and 1,409,946 is: 3,063,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,999 : 1,409,946 = 1,409,946 : x
  2. Step 2: Convert to fraction form
    648,999/1,409,946 = 1,409,946/x
  3. Step 3: Cross multiply
    648,999x = 1,409,946 × 1,409,946
  4. Step 4: Simplify right side
    648,999x = 1,987,947,722,916
  5. Step 5: Solve for x
    x = 1,987,947,722,916/648,999
  6. Step 6: Final answer
    x = 3,063,098.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.