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Finding the Third Proportional to 53,378 and 123,557

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Solution

The third proportional to 53,378 and 123,557 is: 286,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378 : 123,557 = 123,557 : x
  2. Step 2: Convert to fraction form
    53,378/123,557 = 123,557/x
  3. Step 3: Cross multiply
    53,378x = 123,557 × 123,557
  4. Step 4: Simplify right side
    53,378x = 15,266,332,249
  5. Step 5: Solve for x
    x = 15,266,332,249/53,378
  6. Step 6: Final answer
    x = 286,004.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.