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Finding the Third Proportional to 128,534.50 and 286,877

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Solution

The third proportional to 128,534.50 and 286,877 is: 640,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534.50 : 286,877 = 286,877 : x
  2. Step 2: Convert to fraction form
    128,534.50/286,877 = 286,877/x
  3. Step 3: Cross multiply
    128,534.50x = 286,877 × 286,877
  4. Step 4: Simplify right side
    128,534.50x = 82,298,413,129
  5. Step 5: Solve for x
    x = 82,298,413,129/128,534.50
  6. Step 6: Final answer
    x = 640,282.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.