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Finding the Third Proportional to 238,757.63 and 518,215.22

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Solution

The third proportional to 238,757.63 and 518,215.22 is: 1,124,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,757.63 : 518,215.22 = 518,215.22 : x
  2. Step 2: Convert to fraction form
    238,757.63/518,215.22 = 518,215.22/x
  3. Step 3: Cross multiply
    238,757.63x = 518,215.22 × 518,215.22
  4. Step 4: Simplify right side
    238,757.63x = 268,547,012,944.11
  5. Step 5: Solve for x
    x = 268,547,012,944.11/238,757.63
  6. Step 6: Final answer
    x = 1,124,768.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.