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Finding the Third Proportional to 91,430 and 137,145

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Solution

The third proportional to 91,430 and 137,145 is: 205,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,430 : 137,145 = 137,145 : x
  2. Step 2: Convert to fraction form
    91,430/137,145 = 137,145/x
  3. Step 3: Cross multiply
    91,430x = 137,145 × 137,145
  4. Step 4: Simplify right side
    91,430x = 18,808,751,025
  5. Step 5: Solve for x
    x = 18,808,751,025/91,430
  6. Step 6: Final answer
    x = 205,717.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.