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Finding the Third Proportional to 450,106.50 and 690,192

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Solution

The third proportional to 450,106.50 and 690,192 is: 1,058,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,106.50 : 690,192 = 690,192 : x
  2. Step 2: Convert to fraction form
    450,106.50/690,192 = 690,192/x
  3. Step 3: Cross multiply
    450,106.50x = 690,192 × 690,192
  4. Step 4: Simplify right side
    450,106.50x = 476,364,996,864
  5. Step 5: Solve for x
    x = 476,364,996,864/450,106.50
  6. Step 6: Final answer
    x = 1,058,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.