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Finding the Third Proportional to 300,389.13 and 450,643.50

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Solution

The third proportional to 300,389.13 and 450,643.50 is: 676,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,389.13 : 450,643.50 = 450,643.50 : x
  2. Step 2: Convert to fraction form
    300,389.13/450,643.50 = 450,643.50/x
  3. Step 3: Cross multiply
    300,389.13x = 450,643.50 × 450,643.50
  4. Step 4: Simplify right side
    300,389.13x = 203,079,564,092.25
  5. Step 5: Solve for x
    x = 203,079,564,092.25/300,389.13
  6. Step 6: Final answer
    x = 676,054.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.