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Finding the Third Proportional to 253,909.69 and 551,554.31

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Solution

The third proportional to 253,909.69 and 551,554.31 is: 1,198,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,909.69 : 551,554.31 = 551,554.31 : x
  2. Step 2: Convert to fraction form
    253,909.69/551,554.31 = 551,554.31/x
  3. Step 3: Cross multiply
    253,909.69x = 551,554.31 × 551,554.31
  4. Step 4: Simplify right side
    253,909.69x = 304,212,159,637.35
  5. Step 5: Solve for x
    x = 304,212,159,637.35/253,909.69
  6. Step 6: Final answer
    x = 1,198,111.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.