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Finding the Third Proportional to 511,725 and 809,709

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Solution

The third proportional to 511,725 and 809,709 is: 1,281,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,725 : 809,709 = 809,709 : x
  2. Step 2: Convert to fraction form
    511,725/809,709 = 809,709/x
  3. Step 3: Cross multiply
    511,725x = 809,709 × 809,709
  4. Step 4: Simplify right side
    511,725x = 655,628,664,681
  5. Step 5: Solve for x
    x = 655,628,664,681/511,725
  6. Step 6: Final answer
    x = 1,281,212.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.