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Finding the Third Proportional to 553,828 and 829,821

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Solution

The third proportional to 553,828 and 829,821 is: 1,243,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,828 : 829,821 = 829,821 : x
  2. Step 2: Convert to fraction form
    553,828/829,821 = 829,821/x
  3. Step 3: Cross multiply
    553,828x = 829,821 × 829,821
  4. Step 4: Simplify right side
    553,828x = 688,602,892,041
  5. Step 5: Solve for x
    x = 688,602,892,041/553,828
  6. Step 6: Final answer
    x = 1,243,351.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.