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Finding the Third Proportional to 403,421 and 877,813

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Solution

The third proportional to 403,421 and 877,813 is: 1,910,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,421 : 877,813 = 877,813 : x
  2. Step 2: Convert to fraction form
    403,421/877,813 = 877,813/x
  3. Step 3: Cross multiply
    403,421x = 877,813 × 877,813
  4. Step 4: Simplify right side
    403,421x = 770,555,662,969
  5. Step 5: Solve for x
    x = 770,555,662,969/403,421
  6. Step 6: Final answer
    x = 1,910,053.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.