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Finding the Third Proportional to 117,798.75 and 278,048.25

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Solution

The third proportional to 117,798.75 and 278,048.25 is: 656,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,798.75 : 278,048.25 = 278,048.25 : x
  2. Step 2: Convert to fraction form
    117,798.75/278,048.25 = 278,048.25/x
  3. Step 3: Cross multiply
    117,798.75x = 278,048.25 × 278,048.25
  4. Step 4: Simplify right side
    117,798.75x = 77,310,829,328.06
  5. Step 5: Solve for x
    x = 77,310,829,328.06/117,798.75
  6. Step 6: Final answer
    x = 656,295.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.