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Finding the Third Proportional to 269,632 and 579,968

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Solution

The third proportional to 269,632 and 579,968 is: 1,247,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,632 : 579,968 = 579,968 : x
  2. Step 2: Convert to fraction form
    269,632/579,968 = 579,968/x
  3. Step 3: Cross multiply
    269,632x = 579,968 × 579,968
  4. Step 4: Simplify right side
    269,632x = 336,362,881,024
  5. Step 5: Solve for x
    x = 336,362,881,024/269,632
  6. Step 6: Final answer
    x = 1,247,488.73

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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.