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Finding the Third Proportional to 139,398 and 305,478

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Solution

The third proportional to 139,398 and 305,478 is: 669,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,398 : 305,478 = 305,478 : x
  2. Step 2: Convert to fraction form
    139,398/305,478 = 305,478/x
  3. Step 3: Cross multiply
    139,398x = 305,478 × 305,478
  4. Step 4: Simplify right side
    139,398x = 93,316,808,484
  5. Step 5: Solve for x
    x = 93,316,808,484/139,398
  6. Step 6: Final answer
    x = 669,427.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.