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Finding the Third Proportional to 53,752.50 and 83,400.75

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Solution

The third proportional to 53,752.50 and 83,400.75 is: 129,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,752.50 : 83,400.75 = 83,400.75 : x
  2. Step 2: Convert to fraction form
    53,752.50/83,400.75 = 83,400.75/x
  3. Step 3: Cross multiply
    53,752.50x = 83,400.75 × 83,400.75
  4. Step 4: Simplify right side
    53,752.50x = 6,955,685,100.56
  5. Step 5: Solve for x
    x = 6,955,685,100.56/53,752.50
  6. Step 6: Final answer
    x = 129,402.08

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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.