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Finding the Third Proportional to 315,487.13 and 684,487.69

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Solution

The third proportional to 315,487.13 and 684,487.69 is: 1,485,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,487.13 : 684,487.69 = 684,487.69 : x
  2. Step 2: Convert to fraction form
    315,487.13/684,487.69 = 684,487.69/x
  3. Step 3: Cross multiply
    315,487.13x = 684,487.69 × 684,487.69
  4. Step 4: Simplify right side
    315,487.13x = 468,523,394,339.10
  5. Step 5: Solve for x
    x = 468,523,394,339.10/315,487.13
  6. Step 6: Final answer
    x = 1,485,079.29

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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.