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Finding the Third Proportional to 224,208 and 340,465.50

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Solution

The third proportional to 224,208 and 340,465.50 is: 517,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208 : 340,465.50 = 340,465.50 : x
  2. Step 2: Convert to fraction form
    224,208/340,465.50 = 340,465.50/x
  3. Step 3: Cross multiply
    224,208x = 340,465.50 × 340,465.50
  4. Step 4: Simplify right side
    224,208x = 115,916,756,690.25
  5. Step 5: Solve for x
    x = 115,916,756,690.25/224,208
  6. Step 6: Final answer
    x = 517,005.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.