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Finding the Third Proportional to 364,659 and 787,638

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Solution

The third proportional to 364,659 and 787,638 is: 1,701,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,659 : 787,638 = 787,638 : x
  2. Step 2: Convert to fraction form
    364,659/787,638 = 787,638/x
  3. Step 3: Cross multiply
    364,659x = 787,638 × 787,638
  4. Step 4: Simplify right side
    364,659x = 620,373,619,044
  5. Step 5: Solve for x
    x = 620,373,619,044/364,659
  6. Step 6: Final answer
    x = 1,701,243.13

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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.