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Finding the Third Proportional to 312,008 and 495,960

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Solution

The third proportional to 312,008 and 495,960 is: 788,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,008 : 495,960 = 495,960 : x
  2. Step 2: Convert to fraction form
    312,008/495,960 = 495,960/x
  3. Step 3: Cross multiply
    312,008x = 495,960 × 495,960
  4. Step 4: Simplify right side
    312,008x = 245,976,321,600
  5. Step 5: Solve for x
    x = 245,976,321,600/312,008
  6. Step 6: Final answer
    x = 788,365.43

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Why These Related Problems?

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