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Finding the Third Proportional to 677,378 and 1,515,136

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Solution

The third proportional to 677,378 and 1,515,136 is: 3,389,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,378 : 1,515,136 = 1,515,136 : x
  2. Step 2: Convert to fraction form
    677,378/1,515,136 = 1,515,136/x
  3. Step 3: Cross multiply
    677,378x = 1,515,136 × 1,515,136
  4. Step 4: Simplify right side
    677,378x = 2,295,637,098,496
  5. Step 5: Solve for x
    x = 2,295,637,098,496/677,378
  6. Step 6: Final answer
    x = 3,389,004.51

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.