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Finding the Third Proportional to 316,028 and 513,419

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Solution

The third proportional to 316,028 and 513,419 is: 834,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,028 : 513,419 = 513,419 : x
  2. Step 2: Convert to fraction form
    316,028/513,419 = 513,419/x
  3. Step 3: Cross multiply
    316,028x = 513,419 × 513,419
  4. Step 4: Simplify right side
    316,028x = 263,599,069,561
  5. Step 5: Solve for x
    x = 263,599,069,561/316,028
  6. Step 6: Final answer
    x = 834,100.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.