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Finding the Third Proportional to 317,913.75 and 445,555.13

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Solution

The third proportional to 317,913.75 and 445,555.13 is: 624,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,913.75 : 445,555.13 = 445,555.13 : x
  2. Step 2: Convert to fraction form
    317,913.75/445,555.13 = 445,555.13/x
  3. Step 3: Cross multiply
    317,913.75x = 445,555.13 × 445,555.13
  4. Step 4: Simplify right side
    317,913.75x = 198,519,369,413.77
  5. Step 5: Solve for x
    x = 198,519,369,413.77/317,913.75
  6. Step 6: Final answer
    x = 624,444.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.