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Finding the Third Proportional to 405,703.69 and 642,422.81

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Solution

The third proportional to 405,703.69 and 642,422.81 is: 1,017,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,703.69 : 642,422.81 = 642,422.81 : x
  2. Step 2: Convert to fraction form
    405,703.69/642,422.81 = 642,422.81/x
  3. Step 3: Cross multiply
    405,703.69x = 642,422.81 × 642,422.81
  4. Step 4: Simplify right side
    405,703.69x = 412,707,070,020.41
  5. Step 5: Solve for x
    x = 412,707,070,020.41/405,703.69
  6. Step 6: Final answer
    x = 1,017,262.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.