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Finding the Third Proportional to 189,870.75 and 286,264.13

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Solution

The third proportional to 189,870.75 and 286,264.13 is: 431,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,870.75 : 286,264.13 = 286,264.13 : x
  2. Step 2: Convert to fraction form
    189,870.75/286,264.13 = 286,264.13/x
  3. Step 3: Cross multiply
    189,870.75x = 286,264.13 × 286,264.13
  4. Step 4: Simplify right side
    189,870.75x = 81,947,149,262.02
  5. Step 5: Solve for x
    x = 81,947,149,262.02/189,870.75
  6. Step 6: Final answer
    x = 431,594.38

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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.