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Finding the Third Proportional to 390,128 and 838,452

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Solution

The third proportional to 390,128 and 838,452 is: 1,801,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,128 : 838,452 = 838,452 : x
  2. Step 2: Convert to fraction form
    390,128/838,452 = 838,452/x
  3. Step 3: Cross multiply
    390,128x = 838,452 × 838,452
  4. Step 4: Simplify right side
    390,128x = 703,001,756,304
  5. Step 5: Solve for x
    x = 703,001,756,304/390,128
  6. Step 6: Final answer
    x = 1,801,977.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.