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Finding the Third Proportional to 339,076,100 and 732,358,696

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Solution

The third proportional to 339,076,100 and 732,358,696 is: 1,581,796,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076,100 : 732,358,696 = 732,358,696 : x
  2. Step 2: Convert to fraction form
    339,076,100/732,358,696 = 732,358,696/x
  3. Step 3: Cross multiply
    339,076,100x = 732,358,696 × 732,358,696
  4. Step 4: Simplify right side
    339,076,100x = 536,349,259,606,820,416
  5. Step 5: Solve for x
    x = 536,349,259,606,820,416/339,076,100
  6. Step 6: Final answer
    x = 1,581,796,120.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.