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Finding the Third Proportional to 421,306 and 877,616

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Solution

The third proportional to 421,306 and 877,616 is: 1,828,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,306 : 877,616 = 877,616 : x
  2. Step 2: Convert to fraction form
    421,306/877,616 = 877,616/x
  3. Step 3: Cross multiply
    421,306x = 877,616 × 877,616
  4. Step 4: Simplify right side
    421,306x = 770,209,843,456
  5. Step 5: Solve for x
    x = 770,209,843,456/421,306
  6. Step 6: Final answer
    x = 1,828,148.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.