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Finding the Third Proportional to 686,712 and 1,420,944

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Solution

The third proportional to 686,712 and 1,420,944 is: 2,940,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,712 : 1,420,944 = 1,420,944 : x
  2. Step 2: Convert to fraction form
    686,712/1,420,944 = 1,420,944/x
  3. Step 3: Cross multiply
    686,712x = 1,420,944 × 1,420,944
  4. Step 4: Simplify right side
    686,712x = 2,019,081,851,136
  5. Step 5: Solve for x
    x = 2,019,081,851,136/686,712
  6. Step 6: Final answer
    x = 2,940,216.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.