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Finding the Third Proportional to 309,398 and 492,313

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Solution

The third proportional to 309,398 and 492,313 is: 783,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,398 : 492,313 = 492,313 : x
  2. Step 2: Convert to fraction form
    309,398/492,313 = 492,313/x
  3. Step 3: Cross multiply
    309,398x = 492,313 × 492,313
  4. Step 4: Simplify right side
    309,398x = 242,372,089,969
  5. Step 5: Solve for x
    x = 242,372,089,969/309,398
  6. Step 6: Final answer
    x = 783,366.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.