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Finding the Third Proportional to 253,696 and 395,070

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Solution

The third proportional to 253,696 and 395,070 is: 615,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,696 : 395,070 = 395,070 : x
  2. Step 2: Convert to fraction form
    253,696/395,070 = 395,070/x
  3. Step 3: Cross multiply
    253,696x = 395,070 × 395,070
  4. Step 4: Simplify right side
    253,696x = 156,080,304,900
  5. Step 5: Solve for x
    x = 156,080,304,900/253,696
  6. Step 6: Final answer
    x = 615,225.72

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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.