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Finding the Third Proportional to 316,066 and 480,243

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Solution

The third proportional to 316,066 and 480,243 is: 729,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,066 : 480,243 = 480,243 : x
  2. Step 2: Convert to fraction form
    316,066/480,243 = 480,243/x
  3. Step 3: Cross multiply
    316,066x = 480,243 × 480,243
  4. Step 4: Simplify right side
    316,066x = 230,633,339,049
  5. Step 5: Solve for x
    x = 230,633,339,049/316,066
  6. Step 6: Final answer
    x = 729,699.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.