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Finding the Third Proportional to 126,418 and 190,428

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Solution

The third proportional to 126,418 and 190,428 is: 286,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,418 : 190,428 = 190,428 : x
  2. Step 2: Convert to fraction form
    126,418/190,428 = 190,428/x
  3. Step 3: Cross multiply
    126,418x = 190,428 × 190,428
  4. Step 4: Simplify right side
    126,418x = 36,262,823,184
  5. Step 5: Solve for x
    x = 36,262,823,184/126,418
  6. Step 6: Final answer
    x = 286,848.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.