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Finding the Third Proportional to 53,240.50 and 82,426

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Solution

The third proportional to 53,240.50 and 82,426 is: 127,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,240.50 : 82,426 = 82,426 : x
  2. Step 2: Convert to fraction form
    53,240.50/82,426 = 82,426/x
  3. Step 3: Cross multiply
    53,240.50x = 82,426 × 82,426
  4. Step 4: Simplify right side
    53,240.50x = 6,794,045,476
  5. Step 5: Solve for x
    x = 6,794,045,476/53,240.50
  6. Step 6: Final answer
    x = 127,610.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.