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Finding the Third Proportional to 191,898,912 and 421,134,288

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Solution

The third proportional to 191,898,912 and 421,134,288 is: 924,205,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898,912 : 421,134,288 = 421,134,288 : x
  2. Step 2: Convert to fraction form
    191,898,912/421,134,288 = 421,134,288/x
  3. Step 3: Cross multiply
    191,898,912x = 421,134,288 × 421,134,288
  4. Step 4: Simplify right side
    191,898,912x = 177,354,088,529,266,944
  5. Step 5: Solve for x
    x = 177,354,088,529,266,944/191,898,912
  6. Step 6: Final answer
    x = 924,205,805.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.