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Finding the Third Proportional to 132,979,781,730 and 292,555,196,100

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Solution

The third proportional to 132,979,781,730 and 292,555,196,100 is: 643,620,719,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,979,781,730 : 292,555,196,100 = 292,555,196,100 : x
  2. Step 2: Convert to fraction form
    132,979,781,730/292,555,196,100 = 292,555,196,100/x
  3. Step 3: Cross multiply
    132,979,781,730x = 292,555,196,100 × 292,555,196,100
  4. Step 4: Simplify right side
    132,979,781,730x = 85,588,542,765,109,449,064,448
  5. Step 5: Solve for x
    x = 85,588,542,765,109,449,064,448/132,979,781,730
  6. Step 6: Final answer
    x = 643,620,719,267.59

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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.