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Finding the Third Proportional to 445,164.75 and 690,336

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Solution

The third proportional to 445,164.75 and 690,336 is: 1,070,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,164.75 : 690,336 = 690,336 : x
  2. Step 2: Convert to fraction form
    445,164.75/690,336 = 690,336/x
  3. Step 3: Cross multiply
    445,164.75x = 690,336 × 690,336
  4. Step 4: Simplify right side
    445,164.75x = 476,563,792,896
  5. Step 5: Solve for x
    x = 476,563,792,896/445,164.75
  6. Step 6: Final answer
    x = 1,070,533.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.