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Finding the Third Proportional to 2,169,833 and 4,725,409

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Solution

The third proportional to 2,169,833 and 4,725,409 is: 10,290,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,833 : 4,725,409 = 4,725,409 : x
  2. Step 2: Convert to fraction form
    2,169,833/4,725,409 = 4,725,409/x
  3. Step 3: Cross multiply
    2,169,833x = 4,725,409 × 4,725,409
  4. Step 4: Simplify right side
    2,169,833x = 22,329,490,217,281
  5. Step 5: Solve for x
    x = 22,329,490,217,281/2,169,833
  6. Step 6: Final answer
    x = 10,290,879.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.