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Finding the Third Proportional to 191,217,128 and 422,628,623

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Solution

The third proportional to 191,217,128 and 422,628,623 is: 934,094,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,217,128 : 422,628,623 = 422,628,623 : x
  2. Step 2: Convert to fraction form
    191,217,128/422,628,623 = 422,628,623/x
  3. Step 3: Cross multiply
    191,217,128x = 422,628,623 × 422,628,623
  4. Step 4: Simplify right side
    191,217,128x = 178,614,952,978,876,128
  5. Step 5: Solve for x
    x = 178,614,952,978,876,128/191,217,128
  6. Step 6: Final answer
    x = 934,094,946.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.