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Finding the Third Proportional to 134,613 and 208,410

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Solution

The third proportional to 134,613 and 208,410 is: 322,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,613 : 208,410 = 208,410 : x
  2. Step 2: Convert to fraction form
    134,613/208,410 = 208,410/x
  3. Step 3: Cross multiply
    134,613x = 208,410 × 208,410
  4. Step 4: Simplify right side
    134,613x = 43,434,728,100
  5. Step 5: Solve for x
    x = 43,434,728,100/134,613
  6. Step 6: Final answer
    x = 322,663.70

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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.