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Finding the Third Proportional to 405,364 and 882,080

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Solution

The third proportional to 405,364 and 882,080 is: 1,919,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,364 : 882,080 = 882,080 : x
  2. Step 2: Convert to fraction form
    405,364/882,080 = 882,080/x
  3. Step 3: Cross multiply
    405,364x = 882,080 × 882,080
  4. Step 4: Simplify right side
    405,364x = 778,065,126,400
  5. Step 5: Solve for x
    x = 778,065,126,400/405,364
  6. Step 6: Final answer
    x = 1,919,423.35

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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.