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Finding the Third Proportional to 424,131 and 877,786

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Solution

The third proportional to 424,131 and 877,786 is: 1,816,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,131 : 877,786 = 877,786 : x
  2. Step 2: Convert to fraction form
    424,131/877,786 = 877,786/x
  3. Step 3: Cross multiply
    424,131x = 877,786 × 877,786
  4. Step 4: Simplify right side
    424,131x = 770,508,261,796
  5. Step 5: Solve for x
    x = 770,508,261,796/424,131
  6. Step 6: Final answer
    x = 1,816,675.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.