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Finding the Third Proportional to 409,030 and 878,778

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Solution

The third proportional to 409,030 and 878,778 is: 1,888,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,030 : 878,778 = 878,778 : x
  2. Step 2: Convert to fraction form
    409,030/878,778 = 878,778/x
  3. Step 3: Cross multiply
    409,030x = 878,778 × 878,778
  4. Step 4: Simplify right side
    409,030x = 772,250,773,284
  5. Step 5: Solve for x
    x = 772,250,773,284/409,030
  6. Step 6: Final answer
    x = 1,888,005.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.