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Finding the Third Proportional to 117,423 and 256,999.50

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Solution

The third proportional to 117,423 and 256,999.50 is: 562,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,423 : 256,999.50 = 256,999.50 : x
  2. Step 2: Convert to fraction form
    117,423/256,999.50 = 256,999.50/x
  3. Step 3: Cross multiply
    117,423x = 256,999.50 × 256,999.50
  4. Step 4: Simplify right side
    117,423x = 66,048,743,000.25
  5. Step 5: Solve for x
    x = 66,048,743,000.25/117,423
  6. Step 6: Final answer
    x = 562,485.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.