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Finding the Third Proportional to 387,198 and 830,421

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Solution

The third proportional to 387,198 and 830,421 is: 1,780,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,198 : 830,421 = 830,421 : x
  2. Step 2: Convert to fraction form
    387,198/830,421 = 830,421/x
  3. Step 3: Cross multiply
    387,198x = 830,421 × 830,421
  4. Step 4: Simplify right side
    387,198x = 689,599,037,241
  5. Step 5: Solve for x
    x = 689,599,037,241/387,198
  6. Step 6: Final answer
    x = 1,780,998.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.