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Finding the Third Proportional to 128,152.50 and 296,675.25

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Solution

The third proportional to 128,152.50 and 296,675.25 is: 686,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,152.50 : 296,675.25 = 296,675.25 : x
  2. Step 2: Convert to fraction form
    128,152.50/296,675.25 = 296,675.25/x
  3. Step 3: Cross multiply
    128,152.50x = 296,675.25 × 296,675.25
  4. Step 4: Simplify right side
    128,152.50x = 88,016,203,962.56
  5. Step 5: Solve for x
    x = 88,016,203,962.56/128,152.50
  6. Step 6: Final answer
    x = 686,808.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.