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Finding the Third Proportional to 389,946 and 843,862

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Solution

The third proportional to 389,946 and 843,862 is: 1,826,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,946 : 843,862 = 843,862 : x
  2. Step 2: Convert to fraction form
    389,946/843,862 = 843,862/x
  3. Step 3: Cross multiply
    389,946x = 843,862 × 843,862
  4. Step 4: Simplify right side
    389,946x = 712,103,075,044
  5. Step 5: Solve for x
    x = 712,103,075,044/389,946
  6. Step 6: Final answer
    x = 1,826,158.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.