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Finding the Third Proportional to 64,566 and 139,855

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Solution

The third proportional to 64,566 and 139,855 is: 302,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,566 : 139,855 = 139,855 : x
  2. Step 2: Convert to fraction form
    64,566/139,855 = 139,855/x
  3. Step 3: Cross multiply
    64,566x = 139,855 × 139,855
  4. Step 4: Simplify right side
    64,566x = 19,559,421,025
  5. Step 5: Solve for x
    x = 19,559,421,025/64,566
  6. Step 6: Final answer
    x = 302,936.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.