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Finding the Third Proportional to 369,846 and 812,430

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Solution

The third proportional to 369,846 and 812,430 is: 1,784,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,846 : 812,430 = 812,430 : x
  2. Step 2: Convert to fraction form
    369,846/812,430 = 812,430/x
  3. Step 3: Cross multiply
    369,846x = 812,430 × 812,430
  4. Step 4: Simplify right side
    369,846x = 660,042,504,900
  5. Step 5: Solve for x
    x = 660,042,504,900/369,846
  6. Step 6: Final answer
    x = 1,784,641.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.