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Finding the Third Proportional to 66,690 and 143,586

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Solution

The third proportional to 66,690 and 143,586 is: 309,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,690 : 143,586 = 143,586 : x
  2. Step 2: Convert to fraction form
    66,690/143,586 = 143,586/x
  3. Step 3: Cross multiply
    66,690x = 143,586 × 143,586
  4. Step 4: Simplify right side
    66,690x = 20,616,939,396
  5. Step 5: Solve for x
    x = 20,616,939,396/66,690
  6. Step 6: Final answer
    x = 309,145.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.