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Finding the Third Proportional to 357,442 and 552,958

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Solution

The third proportional to 357,442 and 552,958 is: 855,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,442 : 552,958 = 552,958 : x
  2. Step 2: Convert to fraction form
    357,442/552,958 = 552,958/x
  3. Step 3: Cross multiply
    357,442x = 552,958 × 552,958
  4. Step 4: Simplify right side
    357,442x = 305,762,549,764
  5. Step 5: Solve for x
    x = 305,762,549,764/357,442
  6. Step 6: Final answer
    x = 855,418.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.