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Finding the Third Proportional to 385,796.25 and 520,419.94

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Solution

The third proportional to 385,796.25 and 520,419.94 is: 702,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,796.25 : 520,419.94 = 520,419.94 : x
  2. Step 2: Convert to fraction form
    385,796.25/520,419.94 = 520,419.94/x
  3. Step 3: Cross multiply
    385,796.25x = 520,419.94 × 520,419.94
  4. Step 4: Simplify right side
    385,796.25x = 270,836,911,347.50
  5. Step 5: Solve for x
    x = 270,836,911,347.50/385,796.25
  6. Step 6: Final answer
    x = 702,020.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.