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Finding the Third Proportional to 276,597.50 and 417,440

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Solution

The third proportional to 276,597.50 and 417,440 is: 629,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,597.50 : 417,440 = 417,440 : x
  2. Step 2: Convert to fraction form
    276,597.50/417,440 = 417,440/x
  3. Step 3: Cross multiply
    276,597.50x = 417,440 × 417,440
  4. Step 4: Simplify right side
    276,597.50x = 174,256,153,600
  5. Step 5: Solve for x
    x = 174,256,153,600/276,597.50
  6. Step 6: Final answer
    x = 629,999.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.