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Finding the Third Proportional to 154,447 and 316,419

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Solution

The third proportional to 154,447 and 316,419 is: 648,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,447 : 316,419 = 316,419 : x
  2. Step 2: Convert to fraction form
    154,447/316,419 = 316,419/x
  3. Step 3: Cross multiply
    154,447x = 316,419 × 316,419
  4. Step 4: Simplify right side
    154,447x = 100,120,983,561
  5. Step 5: Solve for x
    x = 100,120,983,561/154,447
  6. Step 6: Final answer
    x = 648,254.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.