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Finding the Third Proportional to 312,030 and 638,842

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Solution

The third proportional to 312,030 and 638,842 is: 1,307,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,030 : 638,842 = 638,842 : x
  2. Step 2: Convert to fraction form
    312,030/638,842 = 638,842/x
  3. Step 3: Cross multiply
    312,030x = 638,842 × 638,842
  4. Step 4: Simplify right side
    312,030x = 408,119,100,964
  5. Step 5: Solve for x
    x = 408,119,100,964/312,030
  6. Step 6: Final answer
    x = 1,307,948.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.