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Finding the Third Proportional to 245,838 and 531,042

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Solution

The third proportional to 245,838 and 531,042 is: 1,147,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,838 : 531,042 = 531,042 : x
  2. Step 2: Convert to fraction form
    245,838/531,042 = 531,042/x
  3. Step 3: Cross multiply
    245,838x = 531,042 × 531,042
  4. Step 4: Simplify right side
    245,838x = 282,005,605,764
  5. Step 5: Solve for x
    x = 282,005,605,764/245,838
  6. Step 6: Final answer
    x = 1,147,119.67

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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.