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Finding the Third Proportional to 145,972 and 220,002

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Solution

The third proportional to 145,972 and 220,002 is: 331,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972 : 220,002 = 220,002 : x
  2. Step 2: Convert to fraction form
    145,972/220,002 = 220,002/x
  3. Step 3: Cross multiply
    145,972x = 220,002 × 220,002
  4. Step 4: Simplify right side
    145,972x = 48,400,880,004
  5. Step 5: Solve for x
    x = 48,400,880,004/145,972
  6. Step 6: Final answer
    x = 331,576.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.