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Finding the Third Proportional to 126,428 and 190,442

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Solution

The third proportional to 126,428 and 190,442 is: 286,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,428 : 190,442 = 190,442 : x
  2. Step 2: Convert to fraction form
    126,428/190,442 = 190,442/x
  3. Step 3: Cross multiply
    126,428x = 190,442 × 190,442
  4. Step 4: Simplify right side
    126,428x = 36,268,155,364
  5. Step 5: Solve for x
    x = 36,268,155,364/126,428
  6. Step 6: Final answer
    x = 286,868.06

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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.