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Finding the Third Proportional to 208,030 and 313,881

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Solution

The third proportional to 208,030 and 313,881 is: 473,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030 : 313,881 = 313,881 : x
  2. Step 2: Convert to fraction form
    208,030/313,881 = 313,881/x
  3. Step 3: Cross multiply
    208,030x = 313,881 × 313,881
  4. Step 4: Simplify right side
    208,030x = 98,521,282,161
  5. Step 5: Solve for x
    x = 98,521,282,161/208,030
  6. Step 6: Final answer
    x = 473,591.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.