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Finding the Third Proportional to 66,036.75 and 143,859

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Solution

The third proportional to 66,036.75 and 143,859 is: 313,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,036.75 : 143,859 = 143,859 : x
  2. Step 2: Convert to fraction form
    66,036.75/143,859 = 143,859/x
  3. Step 3: Cross multiply
    66,036.75x = 143,859 × 143,859
  4. Step 4: Simplify right side
    66,036.75x = 20,695,411,881
  5. Step 5: Solve for x
    x = 20,695,411,881/66,036.75
  6. Step 6: Final answer
    x = 313,392.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.