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Finding the Third Proportional to 66,686.63 and 144,429.75

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Solution

The third proportional to 66,686.63 and 144,429.75 is: 312,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,686.63 : 144,429.75 = 144,429.75 : x
  2. Step 2: Convert to fraction form
    66,686.63/144,429.75 = 144,429.75/x
  3. Step 3: Cross multiply
    66,686.63x = 144,429.75 × 144,429.75
  4. Step 4: Simplify right side
    66,686.63x = 20,859,952,685.06
  5. Step 5: Solve for x
    x = 20,859,952,685.06/66,686.63
  6. Step 6: Final answer
    x = 312,805.64

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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.