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Finding the Third Proportional to 421,292 and 684,454

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Solution

The third proportional to 421,292 and 684,454 is: 1,112,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,292 : 684,454 = 684,454 : x
  2. Step 2: Convert to fraction form
    421,292/684,454 = 684,454/x
  3. Step 3: Cross multiply
    421,292x = 684,454 × 684,454
  4. Step 4: Simplify right side
    421,292x = 468,477,278,116
  5. Step 5: Solve for x
    x = 468,477,278,116/421,292
  6. Step 6: Final answer
    x = 1,112,001.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.