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Finding the Third Proportional to 261,872,608 and 393,902,231

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Solution

The third proportional to 261,872,608 and 393,902,231 is: 592,497,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,872,608 : 393,902,231 = 393,902,231 : x
  2. Step 2: Convert to fraction form
    261,872,608/393,902,231 = 393,902,231/x
  3. Step 3: Cross multiply
    261,872,608x = 393,902,231 × 393,902,231
  4. Step 4: Simplify right side
    261,872,608x = 155,158,967,586,777,376
  5. Step 5: Solve for x
    x = 155,158,967,586,777,376/261,872,608
  6. Step 6: Final answer
    x = 592,497,889.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.