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Finding the Third Proportional to 117,858.80 and 254,403.91

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Solution

The third proportional to 117,858.80 and 254,403.91 is: 549,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,858.80 : 254,403.91 = 254,403.91 : x
  2. Step 2: Convert to fraction form
    117,858.80/254,403.91 = 254,403.91/x
  3. Step 3: Cross multiply
    117,858.80x = 254,403.91 × 254,403.91
  4. Step 4: Simplify right side
    117,858.80x = 64,721,351,490.32
  5. Step 5: Solve for x
    x = 64,721,351,490.32/117,858.80
  6. Step 6: Final answer
    x = 549,143.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.