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Finding the Third Proportional to 1,407,808 and 3,319,808

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Solution

The third proportional to 1,407,808 and 3,319,808 is: 7,828,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,808 : 3,319,808 = 3,319,808 : x
  2. Step 2: Convert to fraction form
    1,407,808/3,319,808 = 3,319,808/x
  3. Step 3: Cross multiply
    1,407,808x = 3,319,808 × 3,319,808
  4. Step 4: Simplify right side
    1,407,808x = 11,021,125,156,864
  5. Step 5: Solve for x
    x = 11,021,125,156,864/1,407,808
  6. Step 6: Final answer
    x = 7,828,571.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.