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Finding the Third Proportional to 262,807 and 564,980

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Solution

The third proportional to 262,807 and 564,980 is: 1,214,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807 : 564,980 = 564,980 : x
  2. Step 2: Convert to fraction form
    262,807/564,980 = 564,980/x
  3. Step 3: Cross multiply
    262,807x = 564,980 × 564,980
  4. Step 4: Simplify right side
    262,807x = 319,202,400,400
  5. Step 5: Solve for x
    x = 319,202,400,400/262,807
  6. Step 6: Final answer
    x = 1,214,588.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.