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Finding the Third Proportional to 64,258.13 and 139,240.88

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Solution

The third proportional to 64,258.13 and 139,240.88 is: 301,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,258.13 : 139,240.88 = 139,240.88 : x
  2. Step 2: Convert to fraction form
    64,258.13/139,240.88 = 139,240.88/x
  3. Step 3: Cross multiply
    64,258.13x = 139,240.88 × 139,240.88
  4. Step 4: Simplify right side
    64,258.13x = 19,388,021,270.77
  5. Step 5: Solve for x
    x = 19,388,021,270.77/64,258.13
  6. Step 6: Final answer
    x = 301,720.93

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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.