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Finding the Third Proportional to 317,364,924 and 490,409,286

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Solution

The third proportional to 317,364,924 and 490,409,286 is: 757,806,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,364,924 : 490,409,286 = 490,409,286 : x
  2. Step 2: Convert to fraction form
    317,364,924/490,409,286 = 490,409,286/x
  3. Step 3: Cross multiply
    317,364,924x = 490,409,286 × 490,409,286
  4. Step 4: Simplify right side
    317,364,924x = 240,501,267,795,029,792
  5. Step 5: Solve for x
    x = 240,501,267,795,029,792/317,364,924
  6. Step 6: Final answer
    x = 757,806,706.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.