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Finding the Third Proportional to 197,425,759,546 and 300,764,488,407

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Solution

The third proportional to 197,425,759,546 and 300,764,488,407 is: 458,193,893,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,425,759,546 : 300,764,488,407 = 300,764,488,407 : x
  2. Step 2: Convert to fraction form
    197,425,759,546/300,764,488,407 = 300,764,488,407/x
  3. Step 3: Cross multiply
    197,425,759,546x = 300,764,488,407 × 300,764,488,407
  4. Step 4: Simplify right side
    197,425,759,546x = 90,459,277,486,724,445,372,416
  5. Step 5: Solve for x
    x = 90,459,277,486,724,445,372,416/197,425,759,546
  6. Step 6: Final answer
    x = 458,193,893,718.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.