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Finding the Third Proportional to 91,461 and 138,813

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Solution

The third proportional to 91,461 and 138,813 is: 210,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,461 : 138,813 = 138,813 : x
  2. Step 2: Convert to fraction form
    91,461/138,813 = 138,813/x
  3. Step 3: Cross multiply
    91,461x = 138,813 × 138,813
  4. Step 4: Simplify right side
    91,461x = 19,269,048,969
  5. Step 5: Solve for x
    x = 19,269,048,969/91,461
  6. Step 6: Final answer
    x = 210,680.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.