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Finding the Third Proportional to 357,078 and 743,748

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Solution

The third proportional to 357,078 and 743,748 is: 1,549,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,078 : 743,748 = 743,748 : x
  2. Step 2: Convert to fraction form
    357,078/743,748 = 743,748/x
  3. Step 3: Cross multiply
    357,078x = 743,748 × 743,748
  4. Step 4: Simplify right side
    357,078x = 553,161,087,504
  5. Step 5: Solve for x
    x = 553,161,087,504/357,078
  6. Step 6: Final answer
    x = 1,549,132.37

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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.