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Finding the Third Proportional to 53,378 and 77,313

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Solution

The third proportional to 53,378 and 77,313 is: 111,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378 : 77,313 = 77,313 : x
  2. Step 2: Convert to fraction form
    53,378/77,313 = 77,313/x
  3. Step 3: Cross multiply
    53,378x = 77,313 × 77,313
  4. Step 4: Simplify right side
    53,378x = 5,977,299,969
  5. Step 5: Solve for x
    x = 5,977,299,969/53,378
  6. Step 6: Final answer
    x = 111,980.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.