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Finding the Third Proportional to 239,972.63 and 518,430

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Solution

The third proportional to 239,972.63 and 518,430 is: 1,120,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,972.63 : 518,430 = 518,430 : x
  2. Step 2: Convert to fraction form
    239,972.63/518,430 = 518,430/x
  3. Step 3: Cross multiply
    239,972.63x = 518,430 × 518,430
  4. Step 4: Simplify right side
    239,972.63x = 268,769,664,900
  5. Step 5: Solve for x
    x = 268,769,664,900/239,972.63
  6. Step 6: Final answer
    x = 1,120,001.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.