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Finding the Third Proportional to 271,470 and 409,987

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Solution

The third proportional to 271,470 and 409,987 is: 619,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,470 : 409,987 = 409,987 : x
  2. Step 2: Convert to fraction form
    271,470/409,987 = 409,987/x
  3. Step 3: Cross multiply
    271,470x = 409,987 × 409,987
  4. Step 4: Simplify right side
    271,470x = 168,089,340,169
  5. Step 5: Solve for x
    x = 168,089,340,169/271,470
  6. Step 6: Final answer
    x = 619,182.01

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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.