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Finding the Third Proportional to 398,220 and 510,852

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Solution

The third proportional to 398,220 and 510,852 is: 655,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,220 : 510,852 = 510,852 : x
  2. Step 2: Convert to fraction form
    398,220/510,852 = 510,852/x
  3. Step 3: Cross multiply
    398,220x = 510,852 × 510,852
  4. Step 4: Simplify right side
    398,220x = 260,969,765,904
  5. Step 5: Solve for x
    x = 260,969,765,904/398,220
  6. Step 6: Final answer
    x = 655,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.