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Finding the Third Proportional to 243,673.31 and 518,913.84

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Solution

The third proportional to 243,673.31 and 518,913.84 is: 1,105,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,673.31 : 518,913.84 = 518,913.84 : x
  2. Step 2: Convert to fraction form
    243,673.31/518,913.84 = 518,913.84/x
  3. Step 3: Cross multiply
    243,673.31x = 518,913.84 × 518,913.84
  4. Step 4: Simplify right side
    243,673.31x = 269,271,577,235.40
  5. Step 5: Solve for x
    x = 269,271,577,235.40/243,673.31
  6. Step 6: Final answer
    x = 1,105,051.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.