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Finding the Third Proportional to 405,280.13 and 885,291.19

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Solution

The third proportional to 405,280.13 and 885,291.19 is: 1,933,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,280.13 : 885,291.19 = 885,291.19 : x
  2. Step 2: Convert to fraction form
    405,280.13/885,291.19 = 885,291.19/x
  3. Step 3: Cross multiply
    405,280.13x = 885,291.19 × 885,291.19
  4. Step 4: Simplify right side
    405,280.13x = 783,740,486,665.16
  5. Step 5: Solve for x
    x = 783,740,486,665.16/405,280.13
  6. Step 6: Final answer
    x = 1,933,824.13

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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.