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Finding the Third Proportional to 223,879 and 460,897.50

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Solution

The third proportional to 223,879 and 460,897.50 is: 948,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,879 : 460,897.50 = 460,897.50 : x
  2. Step 2: Convert to fraction form
    223,879/460,897.50 = 460,897.50/x
  3. Step 3: Cross multiply
    223,879x = 460,897.50 × 460,897.50
  4. Step 4: Simplify right side
    223,879x = 212,426,505,506.25
  5. Step 5: Solve for x
    x = 212,426,505,506.25/223,879
  6. Step 6: Final answer
    x = 948,845.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.