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Finding the Third Proportional to 357,240 and 492,108

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Solution

The third proportional to 357,240 and 492,108 is: 677,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,240 : 492,108 = 492,108 : x
  2. Step 2: Convert to fraction form
    357,240/492,108 = 492,108/x
  3. Step 3: Cross multiply
    357,240x = 492,108 × 492,108
  4. Step 4: Simplify right side
    357,240x = 242,170,283,664
  5. Step 5: Solve for x
    x = 242,170,283,664/357,240
  6. Step 6: Final answer
    x = 677,892.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.