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Finding the Third Proportional to 64,373.72 and 139,830.21

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Solution

The third proportional to 64,373.72 and 139,830.21 is: 303,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,373.72 : 139,830.21 = 139,830.21 : x
  2. Step 2: Convert to fraction form
    64,373.72/139,830.21 = 139,830.21/x
  3. Step 3: Cross multiply
    64,373.72x = 139,830.21 × 139,830.21
  4. Step 4: Simplify right side
    64,373.72x = 19,552,486,252.19
  5. Step 5: Solve for x
    x = 19,552,486,252.19/64,373.72
  6. Step 6: Final answer
    x = 303,733.97

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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.