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Finding the Third Proportional to 646,058 and 905,322

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Solution

The third proportional to 646,058 and 905,322 is: 1,268,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,058 : 905,322 = 905,322 : x
  2. Step 2: Convert to fraction form
    646,058/905,322 = 905,322/x
  3. Step 3: Cross multiply
    646,058x = 905,322 × 905,322
  4. Step 4: Simplify right side
    646,058x = 819,607,923,684
  5. Step 5: Solve for x
    x = 819,607,923,684/646,058
  6. Step 6: Final answer
    x = 1,268,629.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.