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Finding the Third Proportional to 646,634 and 1,405,188

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Solution

The third proportional to 646,634 and 1,405,188 is: 3,053,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,634 : 1,405,188 = 1,405,188 : x
  2. Step 2: Convert to fraction form
    646,634/1,405,188 = 1,405,188/x
  3. Step 3: Cross multiply
    646,634x = 1,405,188 × 1,405,188
  4. Step 4: Simplify right side
    646,634x = 1,974,553,315,344
  5. Step 5: Solve for x
    x = 1,974,553,315,344/646,634
  6. Step 6: Final answer
    x = 3,053,587.22

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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.