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Finding the Third Proportional to 145,260 and 200,031

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Solution

The third proportional to 145,260 and 200,031 is: 275,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,260 : 200,031 = 200,031 : x
  2. Step 2: Convert to fraction form
    145,260/200,031 = 200,031/x
  3. Step 3: Cross multiply
    145,260x = 200,031 × 200,031
  4. Step 4: Simplify right side
    145,260x = 40,012,400,961
  5. Step 5: Solve for x
    x = 40,012,400,961/145,260
  6. Step 6: Final answer
    x = 275,453.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.