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Finding the Third Proportional to 315,816 and 690,682

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Solution

The third proportional to 315,816 and 690,682 is: 1,510,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,816 : 690,682 = 690,682 : x
  2. Step 2: Convert to fraction form
    315,816/690,682 = 690,682/x
  3. Step 3: Cross multiply
    315,816x = 690,682 × 690,682
  4. Step 4: Simplify right side
    315,816x = 477,041,625,124
  5. Step 5: Solve for x
    x = 477,041,625,124/315,816
  6. Step 6: Final answer
    x = 1,510,504.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.