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Finding the Third Proportional to 369,381 and 808,821

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Solution

The third proportional to 369,381 and 808,821 is: 1,771,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,381 : 808,821 = 808,821 : x
  2. Step 2: Convert to fraction form
    369,381/808,821 = 808,821/x
  3. Step 3: Cross multiply
    369,381x = 808,821 × 808,821
  4. Step 4: Simplify right side
    369,381x = 654,191,410,041
  5. Step 5: Solve for x
    x = 654,191,410,041/369,381
  6. Step 6: Final answer
    x = 1,771,047.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.