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Finding the Third Proportional to 66,605 and 142,657

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Solution

The third proportional to 66,605 and 142,657 is: 305,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,605 : 142,657 = 142,657 : x
  2. Step 2: Convert to fraction form
    66,605/142,657 = 142,657/x
  3. Step 3: Cross multiply
    66,605x = 142,657 × 142,657
  4. Step 4: Simplify right side
    66,605x = 20,351,019,649
  5. Step 5: Solve for x
    x = 20,351,019,649/66,605
  6. Step 6: Final answer
    x = 305,547.93

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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.