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Finding the Third Proportional to 243,588 and 531,330

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Solution

The third proportional to 243,588 and 531,330 is: 1,158,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,588 : 531,330 = 531,330 : x
  2. Step 2: Convert to fraction form
    243,588/531,330 = 531,330/x
  3. Step 3: Cross multiply
    243,588x = 531,330 × 531,330
  4. Step 4: Simplify right side
    243,588x = 282,311,568,900
  5. Step 5: Solve for x
    x = 282,311,568,900/243,588
  6. Step 6: Final answer
    x = 1,158,971.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.