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Finding the Third Proportional to 66,056 and 142,640

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Solution

The third proportional to 66,056 and 142,640 is: 308,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,056 : 142,640 = 142,640 : x
  2. Step 2: Convert to fraction form
    66,056/142,640 = 142,640/x
  3. Step 3: Cross multiply
    66,056x = 142,640 × 142,640
  4. Step 4: Simplify right side
    66,056x = 20,346,169,600
  5. Step 5: Solve for x
    x = 20,346,169,600/66,056
  6. Step 6: Final answer
    x = 308,013.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.