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Finding the Third Proportional to 189,064 and 292,890

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Solution

The third proportional to 189,064 and 292,890 is: 453,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064 : 292,890 = 292,890 : x
  2. Step 2: Convert to fraction form
    189,064/292,890 = 292,890/x
  3. Step 3: Cross multiply
    189,064x = 292,890 × 292,890
  4. Step 4: Simplify right side
    189,064x = 85,784,552,100
  5. Step 5: Solve for x
    x = 85,784,552,100/189,064
  6. Step 6: Final answer
    x = 453,732.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.