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Finding the Third Proportional to 855,354.94 and 1,280,503.69

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Solution

The third proportional to 855,354.94 and 1,280,503.69 is: 1,916,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,354.94 : 1,280,503.69 = 1,280,503.69 : x
  2. Step 2: Convert to fraction form
    855,354.94/1,280,503.69 = 1,280,503.69/x
  3. Step 3: Cross multiply
    855,354.94x = 1,280,503.69 × 1,280,503.69
  4. Step 4: Simplify right side
    855,354.94x = 1,639,689,693,701.10
  5. Step 5: Solve for x
    x = 1,639,689,693,701.10/855,354.94
  6. Step 6: Final answer
    x = 1,916,969.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.