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Finding the Third Proportional to 647,685 and 905,715

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Solution

The third proportional to 647,685 and 905,715 is: 1,266,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,685 : 905,715 = 905,715 : x
  2. Step 2: Convert to fraction form
    647,685/905,715 = 905,715/x
  3. Step 3: Cross multiply
    647,685x = 905,715 × 905,715
  4. Step 4: Simplify right side
    647,685x = 820,319,661,225
  5. Step 5: Solve for x
    x = 820,319,661,225/647,685
  6. Step 6: Final answer
    x = 1,266,541.08

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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.