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Finding the Third Proportional to 646,614 and 1,405,136

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Solution

The third proportional to 646,614 and 1,405,136 is: 3,053,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,614 : 1,405,136 = 1,405,136 : x
  2. Step 2: Convert to fraction form
    646,614/1,405,136 = 1,405,136/x
  3. Step 3: Cross multiply
    646,614x = 1,405,136 × 1,405,136
  4. Step 4: Simplify right side
    646,614x = 1,974,407,178,496
  5. Step 5: Solve for x
    x = 1,974,407,178,496/646,614
  6. Step 6: Final answer
    x = 3,053,455.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.