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Finding the Third Proportional to 281,984 and 431,912

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Solution

The third proportional to 281,984 and 431,912 is: 661,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,984 : 431,912 = 431,912 : x
  2. Step 2: Convert to fraction form
    281,984/431,912 = 431,912/x
  3. Step 3: Cross multiply
    281,984x = 431,912 × 431,912
  4. Step 4: Simplify right side
    281,984x = 186,547,975,744
  5. Step 5: Solve for x
    x = 186,547,975,744/281,984
  6. Step 6: Final answer
    x = 661,555.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.