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Finding the Third Proportional to 357,040 and 743,672

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Solution

The third proportional to 357,040 and 743,672 is: 1,548,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,040 : 743,672 = 743,672 : x
  2. Step 2: Convert to fraction form
    357,040/743,672 = 743,672/x
  3. Step 3: Cross multiply
    357,040x = 743,672 × 743,672
  4. Step 4: Simplify right side
    357,040x = 553,048,043,584
  5. Step 5: Solve for x
    x = 553,048,043,584/357,040
  6. Step 6: Final answer
    x = 1,548,980.63

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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.