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Finding the Third Proportional to 121,553 and 265,036

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Solution

The third proportional to 121,553 and 265,036 is: 577,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,553 : 265,036 = 265,036 : x
  2. Step 2: Convert to fraction form
    121,553/265,036 = 265,036/x
  3. Step 3: Cross multiply
    121,553x = 265,036 × 265,036
  4. Step 4: Simplify right side
    121,553x = 70,244,081,296
  5. Step 5: Solve for x
    x = 70,244,081,296/121,553
  6. Step 6: Final answer
    x = 577,888.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.