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Finding the Third Proportional to 202,680 and 431,604

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Solution

The third proportional to 202,680 and 431,604 is: 919,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,680 : 431,604 = 431,604 : x
  2. Step 2: Convert to fraction form
    202,680/431,604 = 431,604/x
  3. Step 3: Cross multiply
    202,680x = 431,604 × 431,604
  4. Step 4: Simplify right side
    202,680x = 186,282,012,816
  5. Step 5: Solve for x
    x = 186,282,012,816/202,680
  6. Step 6: Final answer
    x = 919,094.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.