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Finding the Third Proportional to 64,378 and 139,478

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Solution

The third proportional to 64,378 and 139,478 is: 302,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,378 : 139,478 = 139,478 : x
  2. Step 2: Convert to fraction form
    64,378/139,478 = 139,478/x
  3. Step 3: Cross multiply
    64,378x = 139,478 × 139,478
  4. Step 4: Simplify right side
    64,378x = 19,454,112,484
  5. Step 5: Solve for x
    x = 19,454,112,484/64,378
  6. Step 6: Final answer
    x = 302,185.72

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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.