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Finding the Third Proportional to 131,289.75 and 144,823.50

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Solution

The third proportional to 131,289.75 and 144,823.50 is: 159,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,289.75 : 144,823.50 = 144,823.50 : x
  2. Step 2: Convert to fraction form
    131,289.75/144,823.50 = 144,823.50/x
  3. Step 3: Cross multiply
    131,289.75x = 144,823.50 × 144,823.50
  4. Step 4: Simplify right side
    131,289.75x = 20,973,846,152.25
  5. Step 5: Solve for x
    x = 20,973,846,152.25/131,289.75
  6. Step 6: Final answer
    x = 159,752.35

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.