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Finding the Third Proportional to 66,693 and 144,458

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Solution

The third proportional to 66,693 and 144,458 is: 312,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,693 : 144,458 = 144,458 : x
  2. Step 2: Convert to fraction form
    66,693/144,458 = 144,458/x
  3. Step 3: Cross multiply
    66,693x = 144,458 × 144,458
  4. Step 4: Simplify right side
    66,693x = 20,868,113,764
  5. Step 5: Solve for x
    x = 20,868,113,764/66,693
  6. Step 6: Final answer
    x = 312,898.11

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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.