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Finding the Third Proportional to 137,995 and 297,764

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Solution

The third proportional to 137,995 and 297,764 is: 642,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,995 : 297,764 = 297,764 : x
  2. Step 2: Convert to fraction form
    137,995/297,764 = 297,764/x
  3. Step 3: Cross multiply
    137,995x = 297,764 × 297,764
  4. Step 4: Simplify right side
    137,995x = 88,663,399,696
  5. Step 5: Solve for x
    x = 88,663,399,696/137,995
  6. Step 6: Final answer
    x = 642,511.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.