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Finding the Third Proportional to 253,708.88 and 557,637.75

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Solution

The third proportional to 253,708.88 and 557,637.75 is: 1,225,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,708.88 : 557,637.75 = 557,637.75 : x
  2. Step 2: Convert to fraction form
    253,708.88/557,637.75 = 557,637.75/x
  3. Step 3: Cross multiply
    253,708.88x = 557,637.75 × 557,637.75
  4. Step 4: Simplify right side
    253,708.88x = 310,959,860,225.06
  5. Step 5: Solve for x
    x = 310,959,860,225.06/253,708.88
  6. Step 6: Final answer
    x = 1,225,656.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.