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Finding the Third Proportional to 351,013.50 and 684,531

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Solution

The third proportional to 351,013.50 and 684,531 is: 1,334,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,013.50 : 684,531 = 684,531 : x
  2. Step 2: Convert to fraction form
    351,013.50/684,531 = 684,531/x
  3. Step 3: Cross multiply
    351,013.50x = 684,531 × 684,531
  4. Step 4: Simplify right side
    351,013.50x = 468,582,689,961
  5. Step 5: Solve for x
    x = 468,582,689,961/351,013.50
  6. Step 6: Final answer
    x = 1,334,942.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.