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Finding the Third Proportional to 357,250 and 492,126

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Solution

The third proportional to 357,250 and 492,126 is: 677,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,250 : 492,126 = 492,126 : x
  2. Step 2: Convert to fraction form
    357,250/492,126 = 492,126/x
  3. Step 3: Cross multiply
    357,250x = 492,126 × 492,126
  4. Step 4: Simplify right side
    357,250x = 242,187,999,876
  5. Step 5: Solve for x
    x = 242,187,999,876/357,250
  6. Step 6: Final answer
    x = 677,923.02

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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.