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Finding the Third Proportional to 405,159 and 589,971

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Solution

The third proportional to 405,159 and 589,971 is: 859,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,159 : 589,971 = 589,971 : x
  2. Step 2: Convert to fraction form
    405,159/589,971 = 589,971/x
  3. Step 3: Cross multiply
    405,159x = 589,971 × 589,971
  4. Step 4: Simplify right side
    405,159x = 348,065,780,841
  5. Step 5: Solve for x
    x = 348,065,780,841/405,159
  6. Step 6: Final answer
    x = 859,084.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.