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Finding the Third Proportional to 557,450 and 841,400

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Solution

The third proportional to 557,450 and 841,400 is: 1,269,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,450 : 841,400 = 841,400 : x
  2. Step 2: Convert to fraction form
    557,450/841,400 = 841,400/x
  3. Step 3: Cross multiply
    557,450x = 841,400 × 841,400
  4. Step 4: Simplify right side
    557,450x = 707,953,960,000
  5. Step 5: Solve for x
    x = 707,953,960,000/557,450
  6. Step 6: Final answer
    x = 1,269,986.47

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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.