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Finding the Third Proportional to 120,243 and 190,392

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Solution

The third proportional to 120,243 and 190,392 is: 301,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,243 : 190,392 = 190,392 : x
  2. Step 2: Convert to fraction form
    120,243/190,392 = 190,392/x
  3. Step 3: Cross multiply
    120,243x = 190,392 × 190,392
  4. Step 4: Simplify right side
    120,243x = 36,249,113,664
  5. Step 5: Solve for x
    x = 36,249,113,664/120,243
  6. Step 6: Final answer
    x = 301,465.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.