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Finding the Third Proportional to 869,278.50 and 1,277,916.75

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Solution

The third proportional to 869,278.50 and 1,277,916.75 is: 1,878,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,278.50 : 1,277,916.75 = 1,277,916.75 : x
  2. Step 2: Convert to fraction form
    869,278.50/1,277,916.75 = 1,277,916.75/x
  3. Step 3: Cross multiply
    869,278.50x = 1,277,916.75 × 1,277,916.75
  4. Step 4: Simplify right side
    869,278.50x = 1,633,071,219,930.56
  5. Step 5: Solve for x
    x = 1,633,071,219,930.56/869,278.50
  6. Step 6: Final answer
    x = 1,878,651.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.