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Finding the Third Proportional to 509,721.75 and 809,784

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Solution

The third proportional to 509,721.75 and 809,784 is: 1,286,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,721.75 : 809,784 = 809,784 : x
  2. Step 2: Convert to fraction form
    509,721.75/809,784 = 809,784/x
  3. Step 3: Cross multiply
    509,721.75x = 809,784 × 809,784
  4. Step 4: Simplify right side
    509,721.75x = 655,750,126,656
  5. Step 5: Solve for x
    x = 655,750,126,656/509,721.75
  6. Step 6: Final answer
    x = 1,286,486.45

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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.