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Finding the Third Proportional to 289,767 and 610,998

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Solution

The third proportional to 289,767 and 610,998 is: 1,288,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,767 : 610,998 = 610,998 : x
  2. Step 2: Convert to fraction form
    289,767/610,998 = 610,998/x
  3. Step 3: Cross multiply
    289,767x = 610,998 × 610,998
  4. Step 4: Simplify right side
    289,767x = 373,318,556,004
  5. Step 5: Solve for x
    x = 373,318,556,004/289,767
  6. Step 6: Final answer
    x = 1,288,340.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.