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Finding the Third Proportional to 839,135 and 1,290,557

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Solution

The third proportional to 839,135 and 1,290,557 is: 1,984,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,135 : 1,290,557 = 1,290,557 : x
  2. Step 2: Convert to fraction form
    839,135/1,290,557 = 1,290,557/x
  3. Step 3: Cross multiply
    839,135x = 1,290,557 × 1,290,557
  4. Step 4: Simplify right side
    839,135x = 1,665,537,370,249
  5. Step 5: Solve for x
    x = 1,665,537,370,249/839,135
  6. Step 6: Final answer
    x = 1,984,826.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.