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Finding the Third Proportional to 405,120 and 883,135

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Solution

The third proportional to 405,120 and 883,135 is: 1,925,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,120 : 883,135 = 883,135 : x
  2. Step 2: Convert to fraction form
    405,120/883,135 = 883,135/x
  3. Step 3: Cross multiply
    405,120x = 883,135 × 883,135
  4. Step 4: Simplify right side
    405,120x = 779,927,428,225
  5. Step 5: Solve for x
    x = 779,927,428,225/405,120
  6. Step 6: Final answer
    x = 1,925,176.31

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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.