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Finding the Third Proportional to 253,301 and 395,288

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Solution

The third proportional to 253,301 and 395,288 is: 616,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,301 : 395,288 = 395,288 : x
  2. Step 2: Convert to fraction form
    253,301/395,288 = 395,288/x
  3. Step 3: Cross multiply
    253,301x = 395,288 × 395,288
  4. Step 4: Simplify right side
    253,301x = 156,252,602,944
  5. Step 5: Solve for x
    x = 156,252,602,944/253,301
  6. Step 6: Final answer
    x = 616,865.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.