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Finding the Third Proportional to 255,636 and 557,928

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Solution

The third proportional to 255,636 and 557,928 is: 1,217,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,636 : 557,928 = 557,928 : x
  2. Step 2: Convert to fraction form
    255,636/557,928 = 557,928/x
  3. Step 3: Cross multiply
    255,636x = 557,928 × 557,928
  4. Step 4: Simplify right side
    255,636x = 311,283,653,184
  5. Step 5: Solve for x
    x = 311,283,653,184/255,636
  6. Step 6: Final answer
    x = 1,217,683.16

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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.