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Finding the Third Proportional to 281,135 and 616,984

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Solution

The third proportional to 281,135 and 616,984 is: 1,354,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,135 : 616,984 = 616,984 : x
  2. Step 2: Convert to fraction form
    281,135/616,984 = 616,984/x
  3. Step 3: Cross multiply
    281,135x = 616,984 × 616,984
  4. Step 4: Simplify right side
    281,135x = 380,669,256,256
  5. Step 5: Solve for x
    x = 380,669,256,256/281,135
  6. Step 6: Final answer
    x = 1,354,044.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.