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Finding the Third Proportional to 403,590 and 877,164

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Solution

The third proportional to 403,590 and 877,164 is: 1,906,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,590 : 877,164 = 877,164 : x
  2. Step 2: Convert to fraction form
    403,590/877,164 = 877,164/x
  3. Step 3: Cross multiply
    403,590x = 877,164 × 877,164
  4. Step 4: Simplify right side
    403,590x = 769,416,682,896
  5. Step 5: Solve for x
    x = 769,416,682,896/403,590
  6. Step 6: Final answer
    x = 1,906,431.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.