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Finding the Third Proportional to 138,084 and 297,897

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Solution

The third proportional to 138,084 and 297,897 is: 642,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,084 : 297,897 = 297,897 : x
  2. Step 2: Convert to fraction form
    138,084/297,897 = 297,897/x
  3. Step 3: Cross multiply
    138,084x = 297,897 × 297,897
  4. Step 4: Simplify right side
    138,084x = 88,742,622,609
  5. Step 5: Solve for x
    x = 88,742,622,609/138,084
  6. Step 6: Final answer
    x = 642,671.29

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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.