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Finding the Third Proportional to 117,412 and 255,776

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Solution

The third proportional to 117,412 and 255,776 is: 557,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,412 : 255,776 = 255,776 : x
  2. Step 2: Convert to fraction form
    117,412/255,776 = 255,776/x
  3. Step 3: Cross multiply
    117,412x = 255,776 × 255,776
  4. Step 4: Simplify right side
    117,412x = 65,421,362,176
  5. Step 5: Solve for x
    x = 65,421,362,176/117,412
  6. Step 6: Final answer
    x = 557,194.85

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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.