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Finding the Third Proportional to 144,672 and 223,987

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Solution

The third proportional to 144,672 and 223,987 is: 346,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,672 : 223,987 = 223,987 : x
  2. Step 2: Convert to fraction form
    144,672/223,987 = 223,987/x
  3. Step 3: Cross multiply
    144,672x = 223,987 × 223,987
  4. Step 4: Simplify right side
    144,672x = 50,170,176,169
  5. Step 5: Solve for x
    x = 50,170,176,169/144,672
  6. Step 6: Final answer
    x = 346,785.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.