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Finding the Third Proportional to 133,046 and 206,585

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Solution

The third proportional to 133,046 and 206,585 is: 320,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 206,585 = 206,585 : x
  2. Step 2: Convert to fraction form
    133,046/206,585 = 206,585/x
  3. Step 3: Cross multiply
    133,046x = 206,585 × 206,585
  4. Step 4: Simplify right side
    133,046x = 42,677,362,225
  5. Step 5: Solve for x
    x = 42,677,362,225/133,046
  6. Step 6: Final answer
    x = 320,771.48

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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.