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Finding the Third Proportional to 647,682 and 905,709

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Solution

The third proportional to 647,682 and 905,709 is: 1,266,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,682 : 905,709 = 905,709 : x
  2. Step 2: Convert to fraction form
    647,682/905,709 = 905,709/x
  3. Step 3: Cross multiply
    647,682x = 905,709 × 905,709
  4. Step 4: Simplify right side
    647,682x = 820,308,792,681
  5. Step 5: Solve for x
    x = 820,308,792,681/647,682
  6. Step 6: Final answer
    x = 1,266,530.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.