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Finding the Third Proportional to 239,601,402 and 342,395,988

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Solution

The third proportional to 239,601,402 and 342,395,988 is: 489,291,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,601,402 : 342,395,988 = 342,395,988 : x
  2. Step 2: Convert to fraction form
    239,601,402/342,395,988 = 342,395,988/x
  3. Step 3: Cross multiply
    239,601,402x = 342,395,988 × 342,395,988
  4. Step 4: Simplify right side
    239,601,402x = 117,235,012,598,496,144
  5. Step 5: Solve for x
    x = 117,235,012,598,496,144/239,601,402
  6. Step 6: Final answer
    x = 489,291,847.29

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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.