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Finding the Third Proportional to 121,248 and 285,814.50

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Solution

The third proportional to 121,248 and 285,814.50 is: 673,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,248 : 285,814.50 = 285,814.50 : x
  2. Step 2: Convert to fraction form
    121,248/285,814.50 = 285,814.50/x
  3. Step 3: Cross multiply
    121,248x = 285,814.50 × 285,814.50
  4. Step 4: Simplify right side
    121,248x = 81,689,928,410.25
  5. Step 5: Solve for x
    x = 81,689,928,410.25/121,248
  6. Step 6: Final answer
    x = 673,742.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.