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Finding the Third Proportional to 134,612 and 208,409

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Solution

The third proportional to 134,612 and 208,409 is: 322,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,612 : 208,409 = 208,409 : x
  2. Step 2: Convert to fraction form
    134,612/208,409 = 208,409/x
  3. Step 3: Cross multiply
    134,612x = 208,409 × 208,409
  4. Step 4: Simplify right side
    134,612x = 43,434,311,281
  5. Step 5: Solve for x
    x = 43,434,311,281/134,612
  6. Step 6: Final answer
    x = 322,663.00

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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.