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Finding the Third Proportional to 399,209,552 and 873,675,144

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Solution

The third proportional to 399,209,552 and 873,675,144 is: 1,912,049,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,209,552 : 873,675,144 = 873,675,144 : x
  2. Step 2: Convert to fraction form
    399,209,552/873,675,144 = 873,675,144/x
  3. Step 3: Cross multiply
    399,209,552x = 873,675,144 × 873,675,144
  4. Step 4: Simplify right side
    399,209,552x = 763,308,257,243,420,672
  5. Step 5: Solve for x
    x = 763,308,257,243,420,672/399,209,552
  6. Step 6: Final answer
    x = 1,912,049,081.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.