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Finding the Third Proportional to 842,370 and 1,988,549

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Solution

The third proportional to 842,370 and 1,988,549 is: 4,694,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,370 : 1,988,549 = 1,988,549 : x
  2. Step 2: Convert to fraction form
    842,370/1,988,549 = 1,988,549/x
  3. Step 3: Cross multiply
    842,370x = 1,988,549 × 1,988,549
  4. Step 4: Simplify right side
    842,370x = 3,954,327,125,401
  5. Step 5: Solve for x
    x = 3,954,327,125,401/842,370
  6. Step 6: Final answer
    x = 4,694,287.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.