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Finding the Third Proportional to 53,430 and 75,945

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Solution

The third proportional to 53,430 and 75,945 is: 107,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,430 : 75,945 = 75,945 : x
  2. Step 2: Convert to fraction form
    53,430/75,945 = 75,945/x
  3. Step 3: Cross multiply
    53,430x = 75,945 × 75,945
  4. Step 4: Simplify right side
    53,430x = 5,767,643,025
  5. Step 5: Solve for x
    x = 5,767,643,025/53,430
  6. Step 6: Final answer
    x = 107,947.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.