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Finding the Third Proportional to 53,422 and 115,409

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Solution

The third proportional to 53,422 and 115,409 is: 249,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422 : 115,409 = 115,409 : x
  2. Step 2: Convert to fraction form
    53,422/115,409 = 115,409/x
  3. Step 3: Cross multiply
    53,422x = 115,409 × 115,409
  4. Step 4: Simplify right side
    53,422x = 13,319,237,281
  5. Step 5: Solve for x
    x = 13,319,237,281/53,422
  6. Step 6: Final answer
    x = 249,321.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.