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Finding the Third Proportional to 315,242 and 684,068

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Solution

The third proportional to 315,242 and 684,068 is: 1,484,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,242 : 684,068 = 684,068 : x
  2. Step 2: Convert to fraction form
    315,242/684,068 = 684,068/x
  3. Step 3: Cross multiply
    315,242x = 684,068 × 684,068
  4. Step 4: Simplify right side
    315,242x = 467,949,028,624
  5. Step 5: Solve for x
    x = 467,949,028,624/315,242
  6. Step 6: Final answer
    x = 1,484,412.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.