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Finding the Third Proportional to 145,354,782 and 223,420,812

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Solution

The third proportional to 145,354,782 and 223,420,812 is: 343,413,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,354,782 : 223,420,812 = 223,420,812 : x
  2. Step 2: Convert to fraction form
    145,354,782/223,420,812 = 223,420,812/x
  3. Step 3: Cross multiply
    145,354,782x = 223,420,812 × 223,420,812
  4. Step 4: Simplify right side
    145,354,782x = 49,916,859,234,739,344
  5. Step 5: Solve for x
    x = 49,916,859,234,739,344/145,354,782
  6. Step 6: Final answer
    x = 343,413,945.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.