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Finding the Third Proportional to 66,607 and 142,713

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Solution

The third proportional to 66,607 and 142,713 is: 305,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,607 : 142,713 = 142,713 : x
  2. Step 2: Convert to fraction form
    66,607/142,713 = 142,713/x
  3. Step 3: Cross multiply
    66,607x = 142,713 × 142,713
  4. Step 4: Simplify right side
    66,607x = 20,367,000,369
  5. Step 5: Solve for x
    x = 20,367,000,369/66,607
  6. Step 6: Final answer
    x = 305,778.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.