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Finding the Third Proportional to 4,200,553 and 6,339,313.50

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Solution

The third proportional to 4,200,553 and 6,339,313.50 is: 9,567,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,553 : 6,339,313.50 = 6,339,313.50 : x
  2. Step 2: Convert to fraction form
    4,200,553/6,339,313.50 = 6,339,313.50/x
  3. Step 3: Cross multiply
    4,200,553x = 6,339,313.50 × 6,339,313.50
  4. Step 4: Simplify right side
    4,200,553x = 40,186,895,651,282.25
  5. Step 5: Solve for x
    x = 40,186,895,651,282.25/4,200,553
  6. Step 6: Final answer
    x = 9,567,048.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.