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Finding the Third Proportional to 257,090 and 395,410

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Solution

The third proportional to 257,090 and 395,410 is: 608,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,090 : 395,410 = 395,410 : x
  2. Step 2: Convert to fraction form
    257,090/395,410 = 395,410/x
  3. Step 3: Cross multiply
    257,090x = 395,410 × 395,410
  4. Step 4: Simplify right side
    257,090x = 156,349,068,100
  5. Step 5: Solve for x
    x = 156,349,068,100/257,090
  6. Step 6: Final answer
    x = 608,149.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.