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Finding the Third Proportional to 357,057 and 743,706

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Solution

The third proportional to 357,057 and 743,706 is: 1,549,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,057 : 743,706 = 743,706 : x
  2. Step 2: Convert to fraction form
    357,057/743,706 = 743,706/x
  3. Step 3: Cross multiply
    357,057x = 743,706 × 743,706
  4. Step 4: Simplify right side
    357,057x = 553,098,614,436
  5. Step 5: Solve for x
    x = 553,098,614,436/357,057
  6. Step 6: Final answer
    x = 1,549,048.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.