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Finding the Third Proportional to 190,905 and 431,313

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Solution

The third proportional to 190,905 and 431,313 is: 974,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,905 : 431,313 = 431,313 : x
  2. Step 2: Convert to fraction form
    190,905/431,313 = 431,313/x
  3. Step 3: Cross multiply
    190,905x = 431,313 × 431,313
  4. Step 4: Simplify right side
    190,905x = 186,030,903,969
  5. Step 5: Solve for x
    x = 186,030,903,969/190,905
  6. Step 6: Final answer
    x = 974,468.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.