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Finding the Third Proportional to 189,877.50 and 286,031.25

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Solution

The third proportional to 189,877.50 and 286,031.25 is: 430,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,877.50 : 286,031.25 = 286,031.25 : x
  2. Step 2: Convert to fraction form
    189,877.50/286,031.25 = 286,031.25/x
  3. Step 3: Cross multiply
    189,877.50x = 286,031.25 × 286,031.25
  4. Step 4: Simplify right side
    189,877.50x = 81,813,875,976.56
  5. Step 5: Solve for x
    x = 81,813,875,976.56/189,877.50
  6. Step 6: Final answer
    x = 430,877.15

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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.