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Finding the Third Proportional to 3,880,980 and 8,164,125

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Solution

The third proportional to 3,880,980 and 8,164,125 is: 17,174,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,980 : 8,164,125 = 8,164,125 : x
  2. Step 2: Convert to fraction form
    3,880,980/8,164,125 = 8,164,125/x
  3. Step 3: Cross multiply
    3,880,980x = 8,164,125 × 8,164,125
  4. Step 4: Simplify right side
    3,880,980x = 66,652,937,015,625
  5. Step 5: Solve for x
    x = 66,652,937,015,625/3,880,980
  6. Step 6: Final answer
    x = 17,174,254.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.