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Finding the Third Proportional to 401,213 and 865,621

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Solution

The third proportional to 401,213 and 865,621 is: 1,867,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,213 : 865,621 = 865,621 : x
  2. Step 2: Convert to fraction form
    401,213/865,621 = 865,621/x
  3. Step 3: Cross multiply
    401,213x = 865,621 × 865,621
  4. Step 4: Simplify right side
    401,213x = 749,299,715,641
  5. Step 5: Solve for x
    x = 749,299,715,641/401,213
  6. Step 6: Final answer
    x = 1,867,585.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.