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Finding the Third Proportional to 2,129,120 and 4,670,437

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Solution

The third proportional to 2,129,120 and 4,670,437 is: 10,245,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,120 : 4,670,437 = 4,670,437 : x
  2. Step 2: Convert to fraction form
    2,129,120/4,670,437 = 4,670,437/x
  3. Step 3: Cross multiply
    2,129,120x = 4,670,437 × 4,670,437
  4. Step 4: Simplify right side
    2,129,120x = 21,812,981,770,969
  5. Step 5: Solve for x
    x = 21,812,981,770,969/2,129,120
  6. Step 6: Final answer
    x = 10,245,069.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.