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Finding the Third Proportional to 261,921,334 and 410,876,728

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Solution

The third proportional to 261,921,334 and 410,876,728 is: 644,543,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,921,334 : 410,876,728 = 410,876,728 : x
  2. Step 2: Convert to fraction form
    261,921,334/410,876,728 = 410,876,728/x
  3. Step 3: Cross multiply
    261,921,334x = 410,876,728 × 410,876,728
  4. Step 4: Simplify right side
    261,921,334x = 168,819,685,611,985,984
  5. Step 5: Solve for x
    x = 168,819,685,611,985,984/261,921,334
  6. Step 6: Final answer
    x = 644,543,470.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.