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Finding the Third Proportional to 335,340 and 492,318

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Solution

The third proportional to 335,340 and 492,318 is: 722,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,340 : 492,318 = 492,318 : x
  2. Step 2: Convert to fraction form
    335,340/492,318 = 492,318/x
  3. Step 3: Cross multiply
    335,340x = 492,318 × 492,318
  4. Step 4: Simplify right side
    335,340x = 242,377,013,124
  5. Step 5: Solve for x
    x = 242,377,013,124/335,340
  6. Step 6: Final answer
    x = 722,779.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.