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Finding the Third Proportional to 256,095.42 and 557,337.59

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Solution

The third proportional to 256,095.42 and 557,337.59 is: 1,212,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.42 : 557,337.59 = 557,337.59 : x
  2. Step 2: Convert to fraction form
    256,095.42/557,337.59 = 557,337.59/x
  3. Step 3: Cross multiply
    256,095.42x = 557,337.59 × 557,337.59
  4. Step 4: Simplify right side
    256,095.42x = 310,625,184,698.64
  5. Step 5: Solve for x
    x = 310,625,184,698.64/256,095.42
  6. Step 6: Final answer
    x = 1,212,927.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.