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Finding the Third Proportional to 354,978.75 and 764,085.75

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Solution

The third proportional to 354,978.75 and 764,085.75 is: 1,644,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,978.75 : 764,085.75 = 764,085.75 : x
  2. Step 2: Convert to fraction form
    354,978.75/764,085.75 = 764,085.75/x
  3. Step 3: Cross multiply
    354,978.75x = 764,085.75 × 764,085.75
  4. Step 4: Simplify right side
    354,978.75x = 583,827,033,353.06
  5. Step 5: Solve for x
    x = 583,827,033,353.06/354,978.75
  6. Step 6: Final answer
    x = 1,644,681.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.