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Finding the Third Proportional to 253,855.69 and 557,526.38

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Solution

The third proportional to 253,855.69 and 557,526.38 is: 1,224,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,855.69 : 557,526.38 = 557,526.38 : x
  2. Step 2: Convert to fraction form
    253,855.69/557,526.38 = 557,526.38/x
  3. Step 3: Cross multiply
    253,855.69x = 557,526.38 × 557,526.38
  4. Step 4: Simplify right side
    253,855.69x = 310,835,658,820.64
  5. Step 5: Solve for x
    x = 310,835,658,820.64/253,855.69
  6. Step 6: Final answer
    x = 1,224,458.12

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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.