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Finding the Third Proportional to 350,343,252 and 492,734,343.38

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Solution

The third proportional to 350,343,252 and 492,734,343.38 is: 692,997,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,343,252 : 492,734,343.38 = 492,734,343.38 : x
  2. Step 2: Convert to fraction form
    350,343,252/492,734,343.38 = 492,734,343.38/x
  3. Step 3: Cross multiply
    350,343,252x = 492,734,343.38 × 492,734,343.38
  4. Step 4: Simplify right side
    350,343,252x = 242,787,133,141,192,416
  5. Step 5: Solve for x
    x = 242,787,133,141,192,416/350,343,252
  6. Step 6: Final answer
    x = 692,997,886.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.