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Finding the Third Proportional to 8,293,646 and 12,982,211

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Solution

The third proportional to 8,293,646 and 12,982,211 is: 20,321,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293,646 : 12,982,211 = 12,982,211 : x
  2. Step 2: Convert to fraction form
    8,293,646/12,982,211 = 12,982,211/x
  3. Step 3: Cross multiply
    8,293,646x = 12,982,211 × 12,982,211
  4. Step 4: Simplify right side
    8,293,646x = 168,537,802,448,521
  5. Step 5: Solve for x
    x = 168,537,802,448,521/8,293,646
  6. Step 6: Final answer
    x = 20,321,316.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.