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Finding the Third Proportional to 191,858,376 and 421,971,912

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Solution

The third proportional to 191,858,376 and 421,971,912 is: 928,081,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,858,376 : 421,971,912 = 421,971,912 : x
  2. Step 2: Convert to fraction form
    191,858,376/421,971,912 = 421,971,912/x
  3. Step 3: Cross multiply
    191,858,376x = 421,971,912 × 421,971,912
  4. Step 4: Simplify right side
    191,858,376x = 178,060,294,516,935,744
  5. Step 5: Solve for x
    x = 178,060,294,516,935,744/191,858,376
  6. Step 6: Final answer
    x = 928,081,943.72

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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.