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Finding the Third Proportional to 148,447.50 and 311,478

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Solution

The third proportional to 148,447.50 and 311,478 is: 653,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,447.50 : 311,478 = 311,478 : x
  2. Step 2: Convert to fraction form
    148,447.50/311,478 = 311,478/x
  3. Step 3: Cross multiply
    148,447.50x = 311,478 × 311,478
  4. Step 4: Simplify right side
    148,447.50x = 97,018,544,484
  5. Step 5: Solve for x
    x = 97,018,544,484/148,447.50
  6. Step 6: Final answer
    x = 653,554.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.