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Finding the Third Proportional to 223,404.75 and 312,508.13

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Solution

The third proportional to 223,404.75 and 312,508.13 is: 437,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,404.75 : 312,508.13 = 312,508.13 : x
  2. Step 2: Convert to fraction form
    223,404.75/312,508.13 = 312,508.13/x
  3. Step 3: Cross multiply
    223,404.75x = 312,508.13 × 312,508.13
  4. Step 4: Simplify right side
    223,404.75x = 97,661,328,191.02
  5. Step 5: Solve for x
    x = 97,661,328,191.02/223,404.75
  6. Step 6: Final answer
    x = 437,149.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.