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Finding the Third Proportional to 610,407 and 1,276,578

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Solution

The third proportional to 610,407 and 1,276,578 is: 2,669,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,407 : 1,276,578 = 1,276,578 : x
  2. Step 2: Convert to fraction form
    610,407/1,276,578 = 1,276,578/x
  3. Step 3: Cross multiply
    610,407x = 1,276,578 × 1,276,578
  4. Step 4: Simplify right side
    610,407x = 1,629,651,390,084
  5. Step 5: Solve for x
    x = 1,629,651,390,084/610,407
  6. Step 6: Final answer
    x = 2,669,778.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.