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Finding the Third Proportional to 66,516 and 145,966

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Solution

The third proportional to 66,516 and 145,966 is: 320,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,516 : 145,966 = 145,966 : x
  2. Step 2: Convert to fraction form
    66,516/145,966 = 145,966/x
  3. Step 3: Cross multiply
    66,516x = 145,966 × 145,966
  4. Step 4: Simplify right side
    66,516x = 21,306,073,156
  5. Step 5: Solve for x
    x = 21,306,073,156/66,516
  6. Step 6: Final answer
    x = 320,315.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.