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Finding the Third Proportional to 306,036 and 662,892

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Solution

The third proportional to 306,036 and 662,892 is: 1,435,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,036 : 662,892 = 662,892 : x
  2. Step 2: Convert to fraction form
    306,036/662,892 = 662,892/x
  3. Step 3: Cross multiply
    306,036x = 662,892 × 662,892
  4. Step 4: Simplify right side
    306,036x = 439,425,803,664
  5. Step 5: Solve for x
    x = 439,425,803,664/306,036
  6. Step 6: Final answer
    x = 1,435,863.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.