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Finding the Third Proportional to 255,468 and 386,736

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Solution

The third proportional to 255,468 and 386,736 is: 585,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,468 : 386,736 = 386,736 : x
  2. Step 2: Convert to fraction form
    255,468/386,736 = 386,736/x
  3. Step 3: Cross multiply
    255,468x = 386,736 × 386,736
  4. Step 4: Simplify right side
    255,468x = 149,564,733,696
  5. Step 5: Solve for x
    x = 149,564,733,696/255,468
  6. Step 6: Final answer
    x = 585,453.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.