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Finding the Third Proportional to 190,143 and 292,288

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Solution

The third proportional to 190,143 and 292,288 is: 449,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,143 : 292,288 = 292,288 : x
  2. Step 2: Convert to fraction form
    190,143/292,288 = 292,288/x
  3. Step 3: Cross multiply
    190,143x = 292,288 × 292,288
  4. Step 4: Simplify right side
    190,143x = 85,432,274,944
  5. Step 5: Solve for x
    x = 85,432,274,944/190,143
  6. Step 6: Final answer
    x = 449,305.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.