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Finding the Third Proportional to 137,897 and 296,905

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Solution

The third proportional to 137,897 and 296,905 is: 639,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897 : 296,905 = 296,905 : x
  2. Step 2: Convert to fraction form
    137,897/296,905 = 296,905/x
  3. Step 3: Cross multiply
    137,897x = 296,905 × 296,905
  4. Step 4: Simplify right side
    137,897x = 88,152,579,025
  5. Step 5: Solve for x
    x = 88,152,579,025/137,897
  6. Step 6: Final answer
    x = 639,263.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.