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Finding the Third Proportional to 148,459.50 and 311,503.50

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Solution

The third proportional to 148,459.50 and 311,503.50 is: 653,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,459.50 : 311,503.50 = 311,503.50 : x
  2. Step 2: Convert to fraction form
    148,459.50/311,503.50 = 311,503.50/x
  3. Step 3: Cross multiply
    148,459.50x = 311,503.50 × 311,503.50
  4. Step 4: Simplify right side
    148,459.50x = 97,034,430,512.25
  5. Step 5: Solve for x
    x = 97,034,430,512.25/148,459.50
  6. Step 6: Final answer
    x = 653,608.77

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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.