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Finding the Third Proportional to 265,888 and 399,030

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Solution

The third proportional to 265,888 and 399,030 is: 598,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,888 : 399,030 = 399,030 : x
  2. Step 2: Convert to fraction form
    265,888/399,030 = 399,030/x
  3. Step 3: Cross multiply
    265,888x = 399,030 × 399,030
  4. Step 4: Simplify right side
    265,888x = 159,224,940,900
  5. Step 5: Solve for x
    x = 159,224,940,900/265,888
  6. Step 6: Final answer
    x = 598,842.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.