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Finding the Third Proportional to 509,686 and 809,730

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Solution

The third proportional to 509,686 and 809,730 is: 1,286,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,686 : 809,730 = 809,730 : x
  2. Step 2: Convert to fraction form
    509,686/809,730 = 809,730/x
  3. Step 3: Cross multiply
    509,686x = 809,730 × 809,730
  4. Step 4: Simplify right side
    509,686x = 655,662,672,900
  5. Step 5: Solve for x
    x = 655,662,672,900/509,686
  6. Step 6: Final answer
    x = 1,286,405.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.