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Finding the Third Proportional to 132,979,781,728 and 292,555,196,096

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Solution

The third proportional to 132,979,781,728 and 292,555,196,096 is: 643,620,719,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,979,781,728 : 292,555,196,096 = 292,555,196,096 : x
  2. Step 2: Convert to fraction form
    132,979,781,728/292,555,196,096 = 292,555,196,096/x
  3. Step 3: Cross multiply
    132,979,781,728x = 292,555,196,096 × 292,555,196,096
  4. Step 4: Simplify right side
    132,979,781,728x = 85,588,542,762,769,010,655,232
  5. Step 5: Solve for x
    x = 85,588,542,762,769,010,655,232/132,979,781,728
  6. Step 6: Final answer
    x = 643,620,719,259.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.