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Finding the Third Proportional to 256,039.13 and 561,058.13

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Solution

The third proportional to 256,039.13 and 561,058.13 is: 1,229,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,039.13 : 561,058.13 = 561,058.13 : x
  2. Step 2: Convert to fraction form
    256,039.13/561,058.13 = 561,058.13/x
  3. Step 3: Cross multiply
    256,039.13x = 561,058.13 × 561,058.13
  4. Step 4: Simplify right side
    256,039.13x = 314,786,219,628.52
  5. Step 5: Solve for x
    x = 314,786,219,628.52/256,039.13
  6. Step 6: Final answer
    x = 1,229,445.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.