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Finding the Third Proportional to 134,806 and 206,502

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Solution

The third proportional to 134,806 and 206,502 is: 316,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,806 : 206,502 = 206,502 : x
  2. Step 2: Convert to fraction form
    134,806/206,502 = 206,502/x
  3. Step 3: Cross multiply
    134,806x = 206,502 × 206,502
  4. Step 4: Simplify right side
    134,806x = 42,643,076,004
  5. Step 5: Solve for x
    x = 42,643,076,004/134,806
  6. Step 6: Final answer
    x = 316,329.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.