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Finding the Third Proportional to 537,428 and 838,821

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Solution

The third proportional to 537,428 and 838,821 is: 1,309,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,428 : 838,821 = 838,821 : x
  2. Step 2: Convert to fraction form
    537,428/838,821 = 838,821/x
  3. Step 3: Cross multiply
    537,428x = 838,821 × 838,821
  4. Step 4: Simplify right side
    537,428x = 703,620,670,041
  5. Step 5: Solve for x
    x = 703,620,670,041/537,428
  6. Step 6: Final answer
    x = 1,309,237.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.