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Finding the Third Proportional to 311,924 and 495,881

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Solution

The third proportional to 311,924 and 495,881 is: 788,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,924 : 495,881 = 495,881 : x
  2. Step 2: Convert to fraction form
    311,924/495,881 = 495,881/x
  3. Step 3: Cross multiply
    311,924x = 495,881 × 495,881
  4. Step 4: Simplify right side
    311,924x = 245,897,966,161
  5. Step 5: Solve for x
    x = 245,897,966,161/311,924
  6. Step 6: Final answer
    x = 788,326.54

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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.