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Finding the Third Proportional to 511,438 and 782,730

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Solution

The third proportional to 511,438 and 782,730 is: 1,197,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,438 : 782,730 = 782,730 : x
  2. Step 2: Convert to fraction form
    511,438/782,730 = 782,730/x
  3. Step 3: Cross multiply
    511,438x = 782,730 × 782,730
  4. Step 4: Simplify right side
    511,438x = 612,666,252,900
  5. Step 5: Solve for x
    x = 612,666,252,900/511,438
  6. Step 6: Final answer
    x = 1,197,928.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.