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Finding the Third Proportional to 66,585 and 144,258

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Solution

The third proportional to 66,585 and 144,258 is: 312,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,585 : 144,258 = 144,258 : x
  2. Step 2: Convert to fraction form
    66,585/144,258 = 144,258/x
  3. Step 3: Cross multiply
    66,585x = 144,258 × 144,258
  4. Step 4: Simplify right side
    66,585x = 20,810,370,564
  5. Step 5: Solve for x
    x = 20,810,370,564/66,585
  6. Step 6: Final answer
    x = 312,538.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.