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Finding the Third Proportional to 315,575 and 684,652

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Solution

The third proportional to 315,575 and 684,652 is: 1,485,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,575 : 684,652 = 684,652 : x
  2. Step 2: Convert to fraction form
    315,575/684,652 = 684,652/x
  3. Step 3: Cross multiply
    315,575x = 684,652 × 684,652
  4. Step 4: Simplify right side
    315,575x = 468,748,361,104
  5. Step 5: Solve for x
    x = 468,748,361,104/315,575
  6. Step 6: Final answer
    x = 1,485,378.63

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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.