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Finding the Third Proportional to 152,497,296 and 334,105,452

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Solution

The third proportional to 152,497,296 and 334,105,452 is: 731,989,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,497,296 : 334,105,452 = 334,105,452 : x
  2. Step 2: Convert to fraction form
    152,497,296/334,105,452 = 334,105,452/x
  3. Step 3: Cross multiply
    152,497,296x = 334,105,452 × 334,105,452
  4. Step 4: Simplify right side
    152,497,296x = 111,626,453,056,124,304
  5. Step 5: Solve for x
    x = 111,626,453,056,124,304/152,497,296
  6. Step 6: Final answer
    x = 731,989,720.37

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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.