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Finding the Third Proportional to 66,258 and 143,078

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Solution

The third proportional to 66,258 and 143,078 is: 308,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,258 : 143,078 = 143,078 : x
  2. Step 2: Convert to fraction form
    66,258/143,078 = 143,078/x
  3. Step 3: Cross multiply
    66,258x = 143,078 × 143,078
  4. Step 4: Simplify right side
    66,258x = 20,471,314,084
  5. Step 5: Solve for x
    x = 20,471,314,084/66,258
  6. Step 6: Final answer
    x = 308,963.66

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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.