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Finding the Third Proportional to 687,447 and 1,511,946

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Solution

The third proportional to 687,447 and 1,511,946 is: 3,325,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,447 : 1,511,946 = 1,511,946 : x
  2. Step 2: Convert to fraction form
    687,447/1,511,946 = 1,511,946/x
  3. Step 3: Cross multiply
    687,447x = 1,511,946 × 1,511,946
  4. Step 4: Simplify right side
    687,447x = 2,285,980,706,916
  5. Step 5: Solve for x
    x = 2,285,980,706,916/687,447
  6. Step 6: Final answer
    x = 3,325,319.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.