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Finding the Third Proportional to 314,630 and 684,548

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Solution

The third proportional to 314,630 and 684,548 is: 1,489,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,630 : 684,548 = 684,548 : x
  2. Step 2: Convert to fraction form
    314,630/684,548 = 684,548/x
  3. Step 3: Cross multiply
    314,630x = 684,548 × 684,548
  4. Step 4: Simplify right side
    314,630x = 468,605,964,304
  5. Step 5: Solve for x
    x = 468,605,964,304/314,630
  6. Step 6: Final answer
    x = 1,489,387.42

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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.