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Finding the Third Proportional to 54,546 and 83,403

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Solution

The third proportional to 54,546 and 83,403 is: 127,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 83,403 = 83,403 : x
  2. Step 2: Convert to fraction form
    54,546/83,403 = 83,403/x
  3. Step 3: Cross multiply
    54,546x = 83,403 × 83,403
  4. Step 4: Simplify right side
    54,546x = 6,956,060,409
  5. Step 5: Solve for x
    x = 6,956,060,409/54,546
  6. Step 6: Final answer
    x = 127,526.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.