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Finding the Third Proportional to 10,640.50 and 16,840.50

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Solution

The third proportional to 10,640.50 and 16,840.50 is: 26,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.50 : 16,840.50 = 16,840.50 : x
  2. Step 2: Convert to fraction form
    10,640.50/16,840.50 = 16,840.50/x
  3. Step 3: Cross multiply
    10,640.50x = 16,840.50 × 16,840.50
  4. Step 4: Simplify right side
    10,640.50x = 283,602,440.25
  5. Step 5: Solve for x
    x = 283,602,440.25/10,640.50
  6. Step 6: Final answer
    x = 26,653.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.