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Finding the Third Proportional to 265,412 and 561,928

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Solution

The third proportional to 265,412 and 561,928 is: 1,189,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,412 : 561,928 = 561,928 : x
  2. Step 2: Convert to fraction form
    265,412/561,928 = 561,928/x
  3. Step 3: Cross multiply
    265,412x = 561,928 × 561,928
  4. Step 4: Simplify right side
    265,412x = 315,763,077,184
  5. Step 5: Solve for x
    x = 315,763,077,184/265,412
  6. Step 6: Final answer
    x = 1,189,709.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.