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Finding the Third Proportional to 281,563 and 612,697

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Solution

The third proportional to 281,563 and 612,697 is: 1,333,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,563 : 612,697 = 612,697 : x
  2. Step 2: Convert to fraction form
    281,563/612,697 = 612,697/x
  3. Step 3: Cross multiply
    281,563x = 612,697 × 612,697
  4. Step 4: Simplify right side
    281,563x = 375,397,613,809
  5. Step 5: Solve for x
    x = 375,397,613,809/281,563
  6. Step 6: Final answer
    x = 1,333,263.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.