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Finding the Third Proportional to 483,840 and 768,664.69

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Solution

The third proportional to 483,840 and 768,664.69 is: 1,221,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,840 : 768,664.69 = 768,664.69 : x
  2. Step 2: Convert to fraction form
    483,840/768,664.69 = 768,664.69/x
  3. Step 3: Cross multiply
    483,840x = 768,664.69 × 768,664.69
  4. Step 4: Simplify right side
    483,840x = 590,845,401,809.47
  5. Step 5: Solve for x
    x = 590,845,401,809.47/483,840
  6. Step 6: Final answer
    x = 1,221,158.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.