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Finding the Third Proportional to 64,254 and 139,235

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Solution

The third proportional to 64,254 and 139,235 is: 301,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,254 : 139,235 = 139,235 : x
  2. Step 2: Convert to fraction form
    64,254/139,235 = 139,235/x
  3. Step 3: Cross multiply
    64,254x = 139,235 × 139,235
  4. Step 4: Simplify right side
    64,254x = 19,386,385,225
  5. Step 5: Solve for x
    x = 19,386,385,225/64,254
  6. Step 6: Final answer
    x = 301,714.84

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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.