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Finding the Third Proportional to 405,117 and 883,129

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Solution

The third proportional to 405,117 and 883,129 is: 1,925,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,117 : 883,129 = 883,129 : x
  2. Step 2: Convert to fraction form
    405,117/883,129 = 883,129/x
  3. Step 3: Cross multiply
    405,117x = 883,129 × 883,129
  4. Step 4: Simplify right side
    405,117x = 779,916,830,641
  5. Step 5: Solve for x
    x = 779,916,830,641/405,117
  6. Step 6: Final answer
    x = 1,925,164.41

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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.