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Finding the Third Proportional to 5,421,840 and 7,228,313

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Solution

The third proportional to 5,421,840 and 7,228,313 is: 9,636,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,840 : 7,228,313 = 7,228,313 : x
  2. Step 2: Convert to fraction form
    5,421,840/7,228,313 = 7,228,313/x
  3. Step 3: Cross multiply
    5,421,840x = 7,228,313 × 7,228,313
  4. Step 4: Simplify right side
    5,421,840x = 52,248,508,825,969
  5. Step 5: Solve for x
    x = 52,248,508,825,969/5,421,840
  6. Step 6: Final answer
    x = 9,636,674.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.