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Finding the Third Proportional to 240,324 and 518,644.50

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Solution

The third proportional to 240,324 and 518,644.50 is: 1,119,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,324 : 518,644.50 = 518,644.50 : x
  2. Step 2: Convert to fraction form
    240,324/518,644.50 = 518,644.50/x
  3. Step 3: Cross multiply
    240,324x = 518,644.50 × 518,644.50
  4. Step 4: Simplify right side
    240,324x = 268,992,117,380.25
  5. Step 5: Solve for x
    x = 268,992,117,380.25/240,324
  6. Step 6: Final answer
    x = 1,119,289.45

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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.