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Finding the Third Proportional to 239,601,732 and 342,396,423

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Solution

The third proportional to 239,601,732 and 342,396,423 is: 489,292,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,601,732 : 342,396,423 = 342,396,423 : x
  2. Step 2: Convert to fraction form
    239,601,732/342,396,423 = 342,396,423/x
  3. Step 3: Cross multiply
    239,601,732x = 342,396,423 × 342,396,423
  4. Step 4: Simplify right side
    239,601,732x = 117,235,310,483,194,928
  5. Step 5: Solve for x
    x = 117,235,310,483,194,928/239,601,732
  6. Step 6: Final answer
    x = 489,292,416.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.