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Finding the Third Proportional to 64,555 and 139,833

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Solution

The third proportional to 64,555 and 139,833 is: 302,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,555 : 139,833 = 139,833 : x
  2. Step 2: Convert to fraction form
    64,555/139,833 = 139,833/x
  3. Step 3: Cross multiply
    64,555x = 139,833 × 139,833
  4. Step 4: Simplify right side
    64,555x = 19,553,267,889
  5. Step 5: Solve for x
    x = 19,553,267,889/64,555
  6. Step 6: Final answer
    x = 302,893.16

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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.