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Finding the Third Proportional to 413,265,888,260 and 641,657,189,781

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Solution

The third proportional to 413,265,888,260 and 641,657,189,781 is: 996,268,893,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,265,888,260 : 641,657,189,781 = 641,657,189,781 : x
  2. Step 2: Convert to fraction form
    413,265,888,260/641,657,189,781 = 641,657,189,781/x
  3. Step 3: Cross multiply
    413,265,888,260x = 641,657,189,781 × 641,657,189,781
  4. Step 4: Simplify right side
    413,265,888,260x = 411,723,949,197,650,265,374,720
  5. Step 5: Solve for x
    x = 411,723,949,197,650,265,374,720/413,265,888,260
  6. Step 6: Final answer
    x = 996,268,893,450.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.