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Finding the Third Proportional to 61,243 and 91,865

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Solution

The third proportional to 61,243 and 91,865 is: 137,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,243 : 91,865 = 91,865 : x
  2. Step 2: Convert to fraction form
    61,243/91,865 = 91,865/x
  3. Step 3: Cross multiply
    61,243x = 91,865 × 91,865
  4. Step 4: Simplify right side
    61,243x = 8,439,178,225
  5. Step 5: Solve for x
    x = 8,439,178,225/61,243
  6. Step 6: Final answer
    x = 137,798.25

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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.