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Finding the Third Proportional to 66,219 and 144,817

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Solution

The third proportional to 66,219 and 144,817 is: 316,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,219 : 144,817 = 144,817 : x
  2. Step 2: Convert to fraction form
    66,219/144,817 = 144,817/x
  3. Step 3: Cross multiply
    66,219x = 144,817 × 144,817
  4. Step 4: Simplify right side
    66,219x = 20,971,963,489
  5. Step 5: Solve for x
    x = 20,971,963,489/66,219
  6. Step 6: Final answer
    x = 316,706.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.