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Finding the Third Proportional to 134,610 and 208,405.13

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Solution

The third proportional to 134,610 and 208,405.13 is: 322,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,610 : 208,405.13 = 208,405.13 : x
  2. Step 2: Convert to fraction form
    134,610/208,405.13 = 208,405.13/x
  3. Step 3: Cross multiply
    134,610x = 208,405.13 × 208,405.13
  4. Step 4: Simplify right side
    134,610x = 43,432,696,126.27
  5. Step 5: Solve for x
    x = 43,432,696,126.27/134,610
  6. Step 6: Final answer
    x = 322,655.79

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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.