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Finding the Third Proportional to 64,389.94 and 138,302.44

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Solution

The third proportional to 64,389.94 and 138,302.44 is: 297,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,389.94 : 138,302.44 = 138,302.44 : x
  2. Step 2: Convert to fraction form
    64,389.94/138,302.44 = 138,302.44/x
  3. Step 3: Cross multiply
    64,389.94x = 138,302.44 × 138,302.44
  4. Step 4: Simplify right side
    64,389.94x = 19,127,564,218.44
  5. Step 5: Solve for x
    x = 19,127,564,218.44/64,389.94
  6. Step 6: Final answer
    x = 297,058.28

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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.