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Finding the Third Proportional to 140,720 and 296,018

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Solution

The third proportional to 140,720 and 296,018 is: 622,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,720 : 296,018 = 296,018 : x
  2. Step 2: Convert to fraction form
    140,720/296,018 = 296,018/x
  3. Step 3: Cross multiply
    140,720x = 296,018 × 296,018
  4. Step 4: Simplify right side
    140,720x = 87,626,656,324
  5. Step 5: Solve for x
    x = 87,626,656,324/140,720
  6. Step 6: Final answer
    x = 622,702.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.