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Finding the Third Proportional to 61,803 and 143,775

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Solution

The third proportional to 61,803 and 143,775 is: 334,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,803 : 143,775 = 143,775 : x
  2. Step 2: Convert to fraction form
    61,803/143,775 = 143,775/x
  3. Step 3: Cross multiply
    61,803x = 143,775 × 143,775
  4. Step 4: Simplify right side
    61,803x = 20,671,250,625
  5. Step 5: Solve for x
    x = 20,671,250,625/61,803
  6. Step 6: Final answer
    x = 334,470.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.