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Finding the Third Proportional to 64,541.39 and 139,805.16

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Solution

The third proportional to 64,541.39 and 139,805.16 is: 302,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,541.39 : 139,805.16 = 139,805.16 : x
  2. Step 2: Convert to fraction form
    64,541.39/139,805.16 = 139,805.16/x
  3. Step 3: Cross multiply
    64,541.39x = 139,805.16 × 139,805.16
  4. Step 4: Simplify right side
    64,541.39x = 19,545,481,714.09
  5. Step 5: Solve for x
    x = 19,545,481,714.09/64,541.39
  6. Step 6: Final answer
    x = 302,836.39

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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.