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Finding the Third Proportional to 873,612 and 1,281,378

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Solution

The third proportional to 873,612 and 1,281,378 is: 1,879,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,612 : 1,281,378 = 1,281,378 : x
  2. Step 2: Convert to fraction form
    873,612/1,281,378 = 1,281,378/x
  3. Step 3: Cross multiply
    873,612x = 1,281,378 × 1,281,378
  4. Step 4: Simplify right side
    873,612x = 1,641,929,578,884
  5. Step 5: Solve for x
    x = 1,641,929,578,884/873,612
  6. Step 6: Final answer
    x = 1,879,472.33

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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.