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Finding the Third Proportional to 125,769.50 and 189,830.50

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Solution

The third proportional to 125,769.50 and 189,830.50 is: 286,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,769.50 : 189,830.50 = 189,830.50 : x
  2. Step 2: Convert to fraction form
    125,769.50/189,830.50 = 189,830.50/x
  3. Step 3: Cross multiply
    125,769.50x = 189,830.50 × 189,830.50
  4. Step 4: Simplify right side
    125,769.50x = 36,035,618,730.25
  5. Step 5: Solve for x
    x = 36,035,618,730.25/125,769.50
  6. Step 6: Final answer
    x = 286,521.13

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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.