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Finding the Third Proportional to 1,870,009 and 4,038,907

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Solution

The third proportional to 1,870,009 and 4,038,907 is: 8,723,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,009 : 4,038,907 = 4,038,907 : x
  2. Step 2: Convert to fraction form
    1,870,009/4,038,907 = 4,038,907/x
  3. Step 3: Cross multiply
    1,870,009x = 4,038,907 × 4,038,907
  4. Step 4: Simplify right side
    1,870,009x = 16,312,769,754,649
  5. Step 5: Solve for x
    x = 16,312,769,754,649/1,870,009
  6. Step 6: Final answer
    x = 8,723,364.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.