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Finding the Third Proportional to 405,139 and 873,076

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Solution

The third proportional to 405,139 and 873,076 is: 1,881,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,139 : 873,076 = 873,076 : x
  2. Step 2: Convert to fraction form
    405,139/873,076 = 873,076/x
  3. Step 3: Cross multiply
    405,139x = 873,076 × 873,076
  4. Step 4: Simplify right side
    405,139x = 762,261,701,776
  5. Step 5: Solve for x
    x = 762,261,701,776/405,139
  6. Step 6: Final answer
    x = 1,881,481.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.