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Finding the Third Proportional to 61,736 and 128,312

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Solution

The third proportional to 61,736 and 128,312 is: 266,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,736 : 128,312 = 128,312 : x
  2. Step 2: Convert to fraction form
    61,736/128,312 = 128,312/x
  3. Step 3: Cross multiply
    61,736x = 128,312 × 128,312
  4. Step 4: Simplify right side
    61,736x = 16,463,969,344
  5. Step 5: Solve for x
    x = 16,463,969,344/61,736
  6. Step 6: Final answer
    x = 266,683.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.