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Finding the Third Proportional to 350,343,254 and 492,734,346

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Solution

The third proportional to 350,343,254 and 492,734,346 is: 692,997,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,343,254 : 492,734,346 = 492,734,346 : x
  2. Step 2: Convert to fraction form
    350,343,254/492,734,346 = 492,734,346/x
  3. Step 3: Cross multiply
    350,343,254x = 492,734,346 × 492,734,346
  4. Step 4: Simplify right side
    350,343,254x = 242,787,135,728,047,712
  5. Step 5: Solve for x
    x = 242,787,135,728,047,712/350,343,254
  6. Step 6: Final answer
    x = 692,997,889.80

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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.