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Finding the Third Proportional to 253,312 and 395,304

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Solution

The third proportional to 253,312 and 395,304 is: 616,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,312 : 395,304 = 395,304 : x
  2. Step 2: Convert to fraction form
    253,312/395,304 = 395,304/x
  3. Step 3: Cross multiply
    253,312x = 395,304 × 395,304
  4. Step 4: Simplify right side
    253,312x = 156,265,252,416
  5. Step 5: Solve for x
    x = 156,265,252,416/253,312
  6. Step 6: Final answer
    x = 616,888.47

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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.