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Finding the Third Proportional to 839,885 and 1,292,701

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Solution

The third proportional to 839,885 and 1,292,701 is: 1,989,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,885 : 1,292,701 = 1,292,701 : x
  2. Step 2: Convert to fraction form
    839,885/1,292,701 = 1,292,701/x
  3. Step 3: Cross multiply
    839,885x = 1,292,701 × 1,292,701
  4. Step 4: Simplify right side
    839,885x = 1,671,075,875,401
  5. Step 5: Solve for x
    x = 1,671,075,875,401/839,885
  6. Step 6: Final answer
    x = 1,989,648.43

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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.