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Finding the Third Proportional to 134,554.50 and 208,208.81

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Solution

The third proportional to 134,554.50 and 208,208.81 is: 322,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,554.50 : 208,208.81 = 208,208.81 : x
  2. Step 2: Convert to fraction form
    134,554.50/208,208.81 = 208,208.81/x
  3. Step 3: Cross multiply
    134,554.50x = 208,208.81 × 208,208.81
  4. Step 4: Simplify right side
    134,554.50x = 43,350,909,602.66
  5. Step 5: Solve for x
    x = 43,350,909,602.66/134,554.50
  6. Step 6: Final answer
    x = 322,181.05

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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.