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Finding the Third Proportional to 368,718 and 780,636

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Solution

The third proportional to 368,718 and 780,636 is: 1,652,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,718 : 780,636 = 780,636 : x
  2. Step 2: Convert to fraction form
    368,718/780,636 = 780,636/x
  3. Step 3: Cross multiply
    368,718x = 780,636 × 780,636
  4. Step 4: Simplify right side
    368,718x = 609,392,564,496
  5. Step 5: Solve for x
    x = 609,392,564,496/368,718
  6. Step 6: Final answer
    x = 1,652,733.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.