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Finding the Third Proportional to 418 and 904

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Solution

The third proportional to 418 and 904 is: 1,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 904 = 904 : x
  2. Step 2: Convert to fraction form
    418/904 = 904/x
  3. Step 3: Cross multiply
    418x = 904 × 904
  4. Step 4: Simplify right side
    418x = 817,216
  5. Step 5: Solve for x
    x = 817,216/418
  6. Step 6: Final answer
    x = 1,955.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.