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Finding the Third Proportional to 422,091,820.13 and 916,845,302.81

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Solution

The third proportional to 422,091,820.13 and 916,845,302.81 is: 1,991,522,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,091,820.13 : 916,845,302.81 = 916,845,302.81 : x
  2. Step 2: Convert to fraction form
    422,091,820.13/916,845,302.81 = 916,845,302.81/x
  3. Step 3: Cross multiply
    422,091,820.13x = 916,845,302.81 × 916,845,302.81
  4. Step 4: Simplify right side
    422,091,820.13x = 840,605,309,289,308,160
  5. Step 5: Solve for x
    x = 840,605,309,289,308,160/422,091,820.13
  6. Step 6: Final answer
    x = 1,991,522,387.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.