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Finding the Third Proportional to 392,205 and 552,303

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Solution

The third proportional to 392,205 and 552,303 is: 777,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,205 : 552,303 = 552,303 : x
  2. Step 2: Convert to fraction form
    392,205/552,303 = 552,303/x
  3. Step 3: Cross multiply
    392,205x = 552,303 × 552,303
  4. Step 4: Simplify right side
    392,205x = 305,038,603,809
  5. Step 5: Solve for x
    x = 305,038,603,809/392,205
  6. Step 6: Final answer
    x = 777,752.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.