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Finding the Third Proportional to 88,726 and 189,905

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Solution

The third proportional to 88,726 and 189,905 is: 406,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,726 : 189,905 = 189,905 : x
  2. Step 2: Convert to fraction form
    88,726/189,905 = 189,905/x
  3. Step 3: Cross multiply
    88,726x = 189,905 × 189,905
  4. Step 4: Simplify right side
    88,726x = 36,063,909,025
  5. Step 5: Solve for x
    x = 36,063,909,025/88,726
  6. Step 6: Final answer
    x = 406,463.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.