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Finding the Third Proportional to 211,978 and 460,769

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Solution

The third proportional to 211,978 and 460,769 is: 1,001,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978 : 460,769 = 460,769 : x
  2. Step 2: Convert to fraction form
    211,978/460,769 = 460,769/x
  3. Step 3: Cross multiply
    211,978x = 460,769 × 460,769
  4. Step 4: Simplify right side
    211,978x = 212,308,071,361
  5. Step 5: Solve for x
    x = 212,308,071,361/211,978
  6. Step 6: Final answer
    x = 1,001,557.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.