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Finding the Third Proportional to 66,890 and 143,572

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Solution

The third proportional to 66,890 and 143,572 is: 308,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,890 : 143,572 = 143,572 : x
  2. Step 2: Convert to fraction form
    66,890/143,572 = 143,572/x
  3. Step 3: Cross multiply
    66,890x = 143,572 × 143,572
  4. Step 4: Simplify right side
    66,890x = 20,612,919,184
  5. Step 5: Solve for x
    x = 20,612,919,184/66,890
  6. Step 6: Final answer
    x = 308,161.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.