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Finding the Third Proportional to 117,355 and 253,415.50

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Solution

The third proportional to 117,355 and 253,415.50 is: 547,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,355 : 253,415.50 = 253,415.50 : x
  2. Step 2: Convert to fraction form
    117,355/253,415.50 = 253,415.50/x
  3. Step 3: Cross multiply
    117,355x = 253,415.50 × 253,415.50
  4. Step 4: Simplify right side
    117,355x = 64,219,415,640.25
  5. Step 5: Solve for x
    x = 64,219,415,640.25/117,355
  6. Step 6: Final answer
    x = 547,223.52

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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.