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Finding the Third Proportional to 156,943,296 and 258,423,552

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Solution

The third proportional to 156,943,296 and 258,423,552 is: 425,521,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943,296 : 258,423,552 = 258,423,552 : x
  2. Step 2: Convert to fraction form
    156,943,296/258,423,552 = 258,423,552/x
  3. Step 3: Cross multiply
    156,943,296x = 258,423,552 × 258,423,552
  4. Step 4: Simplify right side
    156,943,296x = 66,782,732,228,296,704
  5. Step 5: Solve for x
    x = 66,782,732,228,296,704/156,943,296
  6. Step 6: Final answer
    x = 425,521,407.61

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.