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Finding the Third Proportional to 143,071.75 and 221,432.50

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Solution

The third proportional to 143,071.75 and 221,432.50 is: 342,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,071.75 : 221,432.50 = 221,432.50 : x
  2. Step 2: Convert to fraction form
    143,071.75/221,432.50 = 221,432.50/x
  3. Step 3: Cross multiply
    143,071.75x = 221,432.50 × 221,432.50
  4. Step 4: Simplify right side
    143,071.75x = 49,032,352,056.25
  5. Step 5: Solve for x
    x = 49,032,352,056.25/143,071.75
  6. Step 6: Final answer
    x = 342,711.63

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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.