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Finding the Third Proportional to 262,078 and 561,506

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Solution

The third proportional to 262,078 and 561,506 is: 1,203,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,078 : 561,506 = 561,506 : x
  2. Step 2: Convert to fraction form
    262,078/561,506 = 561,506/x
  3. Step 3: Cross multiply
    262,078x = 561,506 × 561,506
  4. Step 4: Simplify right side
    262,078x = 315,288,988,036
  5. Step 5: Solve for x
    x = 315,288,988,036/262,078
  6. Step 6: Final answer
    x = 1,203,034.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.