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Finding the Third Proportional to 139,018 and 297,720

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Solution

The third proportional to 139,018 and 297,720 is: 637,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,018 : 297,720 = 297,720 : x
  2. Step 2: Convert to fraction form
    139,018/297,720 = 297,720/x
  3. Step 3: Cross multiply
    139,018x = 297,720 × 297,720
  4. Step 4: Simplify right side
    139,018x = 88,637,198,400
  5. Step 5: Solve for x
    x = 88,637,198,400/139,018
  6. Step 6: Final answer
    x = 637,595.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.