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Finding the Third Proportional to 257,532 and 343,854

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Solution

The third proportional to 257,532 and 343,854 is: 459,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532 : 343,854 = 343,854 : x
  2. Step 2: Convert to fraction form
    257,532/343,854 = 343,854/x
  3. Step 3: Cross multiply
    257,532x = 343,854 × 343,854
  4. Step 4: Simplify right side
    257,532x = 118,235,573,316
  5. Step 5: Solve for x
    x = 118,235,573,316/257,532
  6. Step 6: Final answer
    x = 459,110.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.