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Finding the Third Proportional to 305,389.13 and 664,994.25

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Solution

The third proportional to 305,389.13 and 664,994.25 is: 1,448,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,389.13 : 664,994.25 = 664,994.25 : x
  2. Step 2: Convert to fraction form
    305,389.13/664,994.25 = 664,994.25/x
  3. Step 3: Cross multiply
    305,389.13x = 664,994.25 × 664,994.25
  4. Step 4: Simplify right side
    305,389.13x = 442,217,352,533.06
  5. Step 5: Solve for x
    x = 442,217,352,533.06/305,389.13
  6. Step 6: Final answer
    x = 1,448,045.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.