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Finding the Third Proportional to 252,783 and 553,039

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Solution

The third proportional to 252,783 and 553,039 is: 1,209,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,783 : 553,039 = 553,039 : x
  2. Step 2: Convert to fraction form
    252,783/553,039 = 553,039/x
  3. Step 3: Cross multiply
    252,783x = 553,039 × 553,039
  4. Step 4: Simplify right side
    252,783x = 305,852,135,521
  5. Step 5: Solve for x
    x = 305,852,135,521/252,783
  6. Step 6: Final answer
    x = 1,209,939.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.