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Finding the Third Proportional to 316,864 and 461,028

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Solution

The third proportional to 316,864 and 461,028 is: 670,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,864 : 461,028 = 461,028 : x
  2. Step 2: Convert to fraction form
    316,864/461,028 = 461,028/x
  3. Step 3: Cross multiply
    316,864x = 461,028 × 461,028
  4. Step 4: Simplify right side
    316,864x = 212,546,816,784
  5. Step 5: Solve for x
    x = 212,546,816,784/316,864
  6. Step 6: Final answer
    x = 670,782.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.