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Finding the Third Proportional to 314,559 and 684,414

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Solution

The third proportional to 314,559 and 684,414 is: 1,489,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,559 : 684,414 = 684,414 : x
  2. Step 2: Convert to fraction form
    314,559/684,414 = 684,414/x
  3. Step 3: Cross multiply
    314,559x = 684,414 × 684,414
  4. Step 4: Simplify right side
    314,559x = 468,422,523,396
  5. Step 5: Solve for x
    x = 468,422,523,396/314,559
  6. Step 6: Final answer
    x = 1,489,140.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.