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Finding the Third Proportional to 53,485 and 74,773

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Solution

The third proportional to 53,485 and 74,773 is: 104,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485 : 74,773 = 74,773 : x
  2. Step 2: Convert to fraction form
    53,485/74,773 = 74,773/x
  3. Step 3: Cross multiply
    53,485x = 74,773 × 74,773
  4. Step 4: Simplify right side
    53,485x = 5,591,001,529
  5. Step 5: Solve for x
    x = 5,591,001,529/53,485
  6. Step 6: Final answer
    x = 104,534.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.