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Finding the Third Proportional to 53,078 and 75,447

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Solution

The third proportional to 53,078 and 75,447 is: 107,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,078 : 75,447 = 75,447 : x
  2. Step 2: Convert to fraction form
    53,078/75,447 = 75,447/x
  3. Step 3: Cross multiply
    53,078x = 75,447 × 75,447
  4. Step 4: Simplify right side
    53,078x = 5,692,249,809
  5. Step 5: Solve for x
    x = 5,692,249,809/53,078
  6. Step 6: Final answer
    x = 107,243.11

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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.