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Finding the Third Proportional to 190,904 and 431,312

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Solution

The third proportional to 190,904 and 431,312 is: 974,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,904 : 431,312 = 431,312 : x
  2. Step 2: Convert to fraction form
    190,904/431,312 = 431,312/x
  3. Step 3: Cross multiply
    190,904x = 431,312 × 431,312
  4. Step 4: Simplify right side
    190,904x = 186,030,041,344
  5. Step 5: Solve for x
    x = 186,030,041,344/190,904
  6. Step 6: Final answer
    x = 974,469.06

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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.