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Finding the Third Proportional to 115,776 and 253,740

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Solution

The third proportional to 115,776 and 253,740 is: 556,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776 : 253,740 = 253,740 : x
  2. Step 2: Convert to fraction form
    115,776/253,740 = 253,740/x
  3. Step 3: Cross multiply
    115,776x = 253,740 × 253,740
  4. Step 4: Simplify right side
    115,776x = 64,383,987,600
  5. Step 5: Solve for x
    x = 64,383,987,600/115,776
  6. Step 6: Final answer
    x = 556,108.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.