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Finding the Third Proportional to 646,611 and 1,405,130

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Solution

The third proportional to 646,611 and 1,405,130 is: 3,053,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,611 : 1,405,130 = 1,405,130 : x
  2. Step 2: Convert to fraction form
    646,611/1,405,130 = 1,405,130/x
  3. Step 3: Cross multiply
    646,611x = 1,405,130 × 1,405,130
  4. Step 4: Simplify right side
    646,611x = 1,974,390,316,900
  5. Step 5: Solve for x
    x = 1,974,390,316,900/646,611
  6. Step 6: Final answer
    x = 3,053,443.75

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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.