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Finding the Third Proportional to 2,990,129 and 6,405,106

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Solution

The third proportional to 2,990,129 and 6,405,106 is: 13,720,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990,129 : 6,405,106 = 6,405,106 : x
  2. Step 2: Convert to fraction form
    2,990,129/6,405,106 = 6,405,106/x
  3. Step 3: Cross multiply
    2,990,129x = 6,405,106 × 6,405,106
  4. Step 4: Simplify right side
    2,990,129x = 41,025,382,871,236
  5. Step 5: Solve for x
    x = 41,025,382,871,236/2,990,129
  6. Step 6: Final answer
    x = 13,720,271.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.