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Finding the Third Proportional to 131,235.19 and 205,903.69

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Solution

The third proportional to 131,235.19 and 205,903.69 is: 323,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,235.19 : 205,903.69 = 205,903.69 : x
  2. Step 2: Convert to fraction form
    131,235.19/205,903.69 = 205,903.69/x
  3. Step 3: Cross multiply
    131,235.19x = 205,903.69 × 205,903.69
  4. Step 4: Simplify right side
    131,235.19x = 42,396,328,526.10
  5. Step 5: Solve for x
    x = 42,396,328,526.10/131,235.19
  6. Step 6: Final answer
    x = 323,056.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.