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Finding the Third Proportional to 395,409 and 612,776

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Solution

The third proportional to 395,409 and 612,776 is: 949,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409 : 612,776 = 612,776 : x
  2. Step 2: Convert to fraction form
    395,409/612,776 = 612,776/x
  3. Step 3: Cross multiply
    395,409x = 612,776 × 612,776
  4. Step 4: Simplify right side
    395,409x = 375,494,426,176
  5. Step 5: Solve for x
    x = 375,494,426,176/395,409
  6. Step 6: Final answer
    x = 949,635.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.