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Finding the Third Proportional to 685,984 and 1,486,016

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Solution

The third proportional to 685,984 and 1,486,016 is: 3,219,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,984 : 1,486,016 = 1,486,016 : x
  2. Step 2: Convert to fraction form
    685,984/1,486,016 = 1,486,016/x
  3. Step 3: Cross multiply
    685,984x = 1,486,016 × 1,486,016
  4. Step 4: Simplify right side
    685,984x = 2,208,243,552,256
  5. Step 5: Solve for x
    x = 2,208,243,552,256/685,984
  6. Step 6: Final answer
    x = 3,219,089.01

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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.