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Finding the Third Proportional to 390,289,121.72 and 852,097,845.23

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Solution

The third proportional to 390,289,121.72 and 852,097,845.23 is: 1,860,340,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,289,121.72 : 852,097,845.23 = 852,097,845.23 : x
  2. Step 2: Convert to fraction form
    390,289,121.72/852,097,845.23 = 852,097,845.23/x
  3. Step 3: Cross multiply
    390,289,121.72x = 852,097,845.23 × 852,097,845.23
  4. Step 4: Simplify right side
    390,289,121.72x = 726,070,737,853,073,408
  5. Step 5: Solve for x
    x = 726,070,737,853,073,408/390,289,121.72
  6. Step 6: Final answer
    x = 1,860,340,699.88

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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.