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Finding the Third Proportional to 686,854 and 1,504,928

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Solution

The third proportional to 686,854 and 1,504,928 is: 3,297,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,854 : 1,504,928 = 1,504,928 : x
  2. Step 2: Convert to fraction form
    686,854/1,504,928 = 1,504,928/x
  3. Step 3: Cross multiply
    686,854x = 1,504,928 × 1,504,928
  4. Step 4: Simplify right side
    686,854x = 2,264,808,285,184
  5. Step 5: Solve for x
    x = 2,264,808,285,184/686,854
  6. Step 6: Final answer
    x = 3,297,364.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.