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Finding the Third Proportional to 340,425 and 494,673.75

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Solution

The third proportional to 340,425 and 494,673.75 is: 718,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,425 : 494,673.75 = 494,673.75 : x
  2. Step 2: Convert to fraction form
    340,425/494,673.75 = 494,673.75/x
  3. Step 3: Cross multiply
    340,425x = 494,673.75 × 494,673.75
  4. Step 4: Simplify right side
    340,425x = 244,702,118,939.06
  5. Step 5: Solve for x
    x = 244,702,118,939.06/340,425
  6. Step 6: Final answer
    x = 718,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.