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Finding the Third Proportional to 53,502 and 82,798

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Solution

The third proportional to 53,502 and 82,798 is: 128,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502 : 82,798 = 82,798 : x
  2. Step 2: Convert to fraction form
    53,502/82,798 = 82,798/x
  3. Step 3: Cross multiply
    53,502x = 82,798 × 82,798
  4. Step 4: Simplify right side
    53,502x = 6,855,508,804
  5. Step 5: Solve for x
    x = 6,855,508,804/53,502
  6. Step 6: Final answer
    x = 128,135.56

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Why These Related Problems?

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