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Finding the Third Proportional to 149,878 and 316,484

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Solution

The third proportional to 149,878 and 316,484 is: 668,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,878 : 316,484 = 316,484 : x
  2. Step 2: Convert to fraction form
    149,878/316,484 = 316,484/x
  3. Step 3: Cross multiply
    149,878x = 316,484 × 316,484
  4. Step 4: Simplify right side
    149,878x = 100,162,122,256
  5. Step 5: Solve for x
    x = 100,162,122,256/149,878
  6. Step 6: Final answer
    x = 668,291.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.