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Finding the Third Proportional to 2,128,373 and 4,729,138

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Solution

The third proportional to 2,128,373 and 4,729,138 is: 10,507,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,373 : 4,729,138 = 4,729,138 : x
  2. Step 2: Convert to fraction form
    2,128,373/4,729,138 = 4,729,138/x
  3. Step 3: Cross multiply
    2,128,373x = 4,729,138 × 4,729,138
  4. Step 4: Simplify right side
    2,128,373x = 22,364,746,223,044
  5. Step 5: Solve for x
    x = 22,364,746,223,044/2,128,373
  6. Step 6: Final answer
    x = 10,507,907.32

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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.