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Finding the Third Proportional to 245,703 and 370,286.25

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Solution

The third proportional to 245,703 and 370,286.25 is: 558,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,703 : 370,286.25 = 370,286.25 : x
  2. Step 2: Convert to fraction form
    245,703/370,286.25 = 370,286.25/x
  3. Step 3: Cross multiply
    245,703x = 370,286.25 × 370,286.25
  4. Step 4: Simplify right side
    245,703x = 137,111,906,939.06
  5. Step 5: Solve for x
    x = 137,111,906,939.06/245,703
  6. Step 6: Final answer
    x = 558,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.