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Finding the Third Proportional to 128,534.75 and 286,877.50

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Solution

The third proportional to 128,534.75 and 286,877.50 is: 640,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534.75 : 286,877.50 = 286,877.50 : x
  2. Step 2: Convert to fraction form
    128,534.75/286,877.50 = 286,877.50/x
  3. Step 3: Cross multiply
    128,534.75x = 286,877.50 × 286,877.50
  4. Step 4: Simplify right side
    128,534.75x = 82,298,700,006.25
  5. Step 5: Solve for x
    x = 82,298,700,006.25/128,534.75
  6. Step 6: Final answer
    x = 640,283.66

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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.