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Finding the Third Proportional to 53,130 and 82,918

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Solution

The third proportional to 53,130 and 82,918 is: 129,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,130 : 82,918 = 82,918 : x
  2. Step 2: Convert to fraction form
    53,130/82,918 = 82,918/x
  3. Step 3: Cross multiply
    53,130x = 82,918 × 82,918
  4. Step 4: Simplify right side
    53,130x = 6,875,394,724
  5. Step 5: Solve for x
    x = 6,875,394,724/53,130
  6. Step 6: Final answer
    x = 129,407.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.