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Finding the Third Proportional to 64,017 and 139,674

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Solution

The third proportional to 64,017 and 139,674 is: 304,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017 : 139,674 = 139,674 : x
  2. Step 2: Convert to fraction form
    64,017/139,674 = 139,674/x
  3. Step 3: Cross multiply
    64,017x = 139,674 × 139,674
  4. Step 4: Simplify right side
    64,017x = 19,508,826,276
  5. Step 5: Solve for x
    x = 19,508,826,276/64,017
  6. Step 6: Final answer
    x = 304,744.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.