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Finding the Third Proportional to 142,994 and 217,565

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Solution

The third proportional to 142,994 and 217,565 is: 331,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,994 : 217,565 = 217,565 : x
  2. Step 2: Convert to fraction form
    142,994/217,565 = 217,565/x
  3. Step 3: Cross multiply
    142,994x = 217,565 × 217,565
  4. Step 4: Simplify right side
    142,994x = 47,334,529,225
  5. Step 5: Solve for x
    x = 47,334,529,225/142,994
  6. Step 6: Final answer
    x = 331,024.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.