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Finding the Third Proportional to 621,038 and 878,946

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Solution

The third proportional to 621,038 and 878,946 is: 1,243,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,038 : 878,946 = 878,946 : x
  2. Step 2: Convert to fraction form
    621,038/878,946 = 878,946/x
  3. Step 3: Cross multiply
    621,038x = 878,946 × 878,946
  4. Step 4: Simplify right side
    621,038x = 772,546,070,916
  5. Step 5: Solve for x
    x = 772,546,070,916/621,038
  6. Step 6: Final answer
    x = 1,243,959.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.