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Finding the Third Proportional to 315,220.50 and 684,024.75

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Solution

The third proportional to 315,220.50 and 684,024.75 is: 1,484,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,220.50 : 684,024.75 = 684,024.75 : x
  2. Step 2: Convert to fraction form
    315,220.50/684,024.75 = 684,024.75/x
  3. Step 3: Cross multiply
    315,220.50x = 684,024.75 × 684,024.75
  4. Step 4: Simplify right side
    315,220.50x = 467,889,858,612.56
  5. Step 5: Solve for x
    x = 467,889,858,612.56/315,220.50
  6. Step 6: Final answer
    x = 1,484,325.60

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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.