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Finding the Third Proportional to 3,114,710 and 6,905,788

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Solution

The third proportional to 3,114,710 and 6,905,788 is: 15,311,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,710 : 6,905,788 = 6,905,788 : x
  2. Step 2: Convert to fraction form
    3,114,710/6,905,788 = 6,905,788/x
  3. Step 3: Cross multiply
    3,114,710x = 6,905,788 × 6,905,788
  4. Step 4: Simplify right side
    3,114,710x = 47,689,907,900,944
  5. Step 5: Solve for x
    x = 47,689,907,900,944/3,114,710
  6. Step 6: Final answer
    x = 15,311,187.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.