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Finding the Third Proportional to 402,453.56 and 852,869.25

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Solution

The third proportional to 402,453.56 and 852,869.25 is: 1,807,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,453.56 : 852,869.25 = 852,869.25 : x
  2. Step 2: Convert to fraction form
    402,453.56/852,869.25 = 852,869.25/x
  3. Step 3: Cross multiply
    402,453.56x = 852,869.25 × 852,869.25
  4. Step 4: Simplify right side
    402,453.56x = 727,385,957,595.56
  5. Step 5: Solve for x
    x = 727,385,957,595.56/402,453.56
  6. Step 6: Final answer
    x = 1,807,378.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.