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Finding the Third Proportional to 318,382,806 and 685,474,476

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Solution

The third proportional to 318,382,806 and 685,474,476 is: 1,475,818,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,382,806 : 685,474,476 = 685,474,476 : x
  2. Step 2: Convert to fraction form
    318,382,806/685,474,476 = 685,474,476/x
  3. Step 3: Cross multiply
    318,382,806x = 685,474,476 × 685,474,476
  4. Step 4: Simplify right side
    318,382,806x = 469,875,257,247,474,560
  5. Step 5: Solve for x
    x = 469,875,257,247,474,560/318,382,806
  6. Step 6: Final answer
    x = 1,475,818,569.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.