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Finding the Third Proportional to 331,490,798 and 721,834,542

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Solution

The third proportional to 331,490,798 and 721,834,542 is: 1,571,823,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,490,798 : 721,834,542 = 721,834,542 : x
  2. Step 2: Convert to fraction form
    331,490,798/721,834,542 = 721,834,542/x
  3. Step 3: Cross multiply
    331,490,798x = 721,834,542 × 721,834,542
  4. Step 4: Simplify right side
    331,490,798x = 521,045,106,024,349,760
  5. Step 5: Solve for x
    x = 521,045,106,024,349,760/331,490,798
  6. Step 6: Final answer
    x = 1,571,823,740.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.