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Finding the Third Proportional to 265,360 and 561,440

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Solution

The third proportional to 265,360 and 561,440 is: 1,187,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,360 : 561,440 = 561,440 : x
  2. Step 2: Convert to fraction form
    265,360/561,440 = 561,440/x
  3. Step 3: Cross multiply
    265,360x = 561,440 × 561,440
  4. Step 4: Simplify right side
    265,360x = 315,214,873,600
  5. Step 5: Solve for x
    x = 315,214,873,600/265,360
  6. Step 6: Final answer
    x = 1,187,876.37

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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.