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Finding the Third Proportional to 53,257 and 83,543

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Solution

The third proportional to 53,257 and 83,543 is: 131,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257 : 83,543 = 83,543 : x
  2. Step 2: Convert to fraction form
    53,257/83,543 = 83,543/x
  3. Step 3: Cross multiply
    53,257x = 83,543 × 83,543
  4. Step 4: Simplify right side
    53,257x = 6,979,432,849
  5. Step 5: Solve for x
    x = 6,979,432,849/53,257
  6. Step 6: Final answer
    x = 131,051.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.