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Finding the Third Proportional to 314,409 and 678,846

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Solution

The third proportional to 314,409 and 678,846 is: 1,465,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,409 : 678,846 = 678,846 : x
  2. Step 2: Convert to fraction form
    314,409/678,846 = 678,846/x
  3. Step 3: Cross multiply
    314,409x = 678,846 × 678,846
  4. Step 4: Simplify right side
    314,409x = 460,831,891,716
  5. Step 5: Solve for x
    x = 460,831,891,716/314,409
  6. Step 6: Final answer
    x = 1,465,708.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.