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Finding the Third Proportional to 257,102 and 395,430

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Solution

The third proportional to 257,102 and 395,430 is: 608,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,102 : 395,430 = 395,430 : x
  2. Step 2: Convert to fraction form
    257,102/395,430 = 395,430/x
  3. Step 3: Cross multiply
    257,102x = 395,430 × 395,430
  4. Step 4: Simplify right side
    257,102x = 156,364,884,900
  5. Step 5: Solve for x
    x = 156,364,884,900/257,102
  6. Step 6: Final answer
    x = 608,182.30

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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.