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Finding the Third Proportional to 410,172 and 620,724

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Solution

The third proportional to 410,172 and 620,724 is: 939,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,172 : 620,724 = 620,724 : x
  2. Step 2: Convert to fraction form
    410,172/620,724 = 620,724/x
  3. Step 3: Cross multiply
    410,172x = 620,724 × 620,724
  4. Step 4: Simplify right side
    410,172x = 385,298,284,176
  5. Step 5: Solve for x
    x = 385,298,284,176/410,172
  6. Step 6: Final answer
    x = 939,357.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.