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Finding the Third Proportional to 64,898 and 139,491

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Solution

The third proportional to 64,898 and 139,491 is: 299,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,898 : 139,491 = 139,491 : x
  2. Step 2: Convert to fraction form
    64,898/139,491 = 139,491/x
  3. Step 3: Cross multiply
    64,898x = 139,491 × 139,491
  4. Step 4: Simplify right side
    64,898x = 19,457,739,081
  5. Step 5: Solve for x
    x = 19,457,739,081/64,898
  6. Step 6: Final answer
    x = 299,820.32

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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.