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Finding the Third Proportional to 314,616 and 684,520

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Solution

The third proportional to 314,616 and 684,520 is: 1,489,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,616 : 684,520 = 684,520 : x
  2. Step 2: Convert to fraction form
    314,616/684,520 = 684,520/x
  3. Step 3: Cross multiply
    314,616x = 684,520 × 684,520
  4. Step 4: Simplify right side
    314,616x = 468,567,630,400
  5. Step 5: Solve for x
    x = 468,567,630,400/314,616
  6. Step 6: Final answer
    x = 1,489,331.85

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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.