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Finding the Third Proportional to 305,596 and 663,783

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Solution

The third proportional to 305,596 and 663,783 is: 1,441,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,596 : 663,783 = 663,783 : x
  2. Step 2: Convert to fraction form
    305,596/663,783 = 663,783/x
  3. Step 3: Cross multiply
    305,596x = 663,783 × 663,783
  4. Step 4: Simplify right side
    305,596x = 440,607,871,089
  5. Step 5: Solve for x
    x = 440,607,871,089/305,596
  6. Step 6: Final answer
    x = 1,441,798.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.