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Finding the Third Proportional to 657,990 and 1,398,991.50

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Solution

The third proportional to 657,990 and 1,398,991.50 is: 2,974,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,990 : 1,398,991.50 = 1,398,991.50 : x
  2. Step 2: Convert to fraction form
    657,990/1,398,991.50 = 1,398,991.50/x
  3. Step 3: Cross multiply
    657,990x = 1,398,991.50 × 1,398,991.50
  4. Step 4: Simplify right side
    657,990x = 1,957,177,217,072.25
  5. Step 5: Solve for x
    x = 1,957,177,217,072.25/657,990
  6. Step 6: Final answer
    x = 2,974,478.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.