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Finding the Third Proportional to 350,343,233.44 and 492,734,317.41

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Solution

The third proportional to 350,343,233.44 and 492,734,317.41 is: 692,997,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,343,233.44 : 492,734,317.41 = 492,734,317.41 : x
  2. Step 2: Convert to fraction form
    350,343,233.44/492,734,317.41 = 492,734,317.41/x
  3. Step 3: Cross multiply
    350,343,233.44x = 492,734,317.41 × 492,734,317.41
  4. Step 4: Simplify right side
    350,343,233.44x = 242,787,107,549,803,136
  5. Step 5: Solve for x
    x = 242,787,107,549,803,136/350,343,233.44
  6. Step 6: Final answer
    x = 692,997,850.04

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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.