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Finding the Third Proportional to 117,969 and 254,709

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Solution

The third proportional to 117,969 and 254,709 is: 549,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969 : 254,709 = 254,709 : x
  2. Step 2: Convert to fraction form
    117,969/254,709 = 254,709/x
  3. Step 3: Cross multiply
    117,969x = 254,709 × 254,709
  4. Step 4: Simplify right side
    117,969x = 64,876,674,681
  5. Step 5: Solve for x
    x = 64,876,674,681/117,969
  6. Step 6: Final answer
    x = 549,946.81

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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.