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Finding the Third Proportional to 3,138,688 and 4,442,462

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Solution

The third proportional to 3,138,688 and 4,442,462 is: 6,287,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,688 : 4,442,462 = 4,442,462 : x
  2. Step 2: Convert to fraction form
    3,138,688/4,442,462 = 4,442,462/x
  3. Step 3: Cross multiply
    3,138,688x = 4,442,462 × 4,442,462
  4. Step 4: Simplify right side
    3,138,688x = 19,735,468,621,444
  5. Step 5: Solve for x
    x = 19,735,468,621,444/3,138,688
  6. Step 6: Final answer
    x = 6,287,808.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.