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Finding the Third Proportional to 309,144 and 651,497

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Solution

The third proportional to 309,144 and 651,497 is: 1,372,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,144 : 651,497 = 651,497 : x
  2. Step 2: Convert to fraction form
    309,144/651,497 = 651,497/x
  3. Step 3: Cross multiply
    309,144x = 651,497 × 651,497
  4. Step 4: Simplify right side
    309,144x = 424,448,341,009
  5. Step 5: Solve for x
    x = 424,448,341,009/309,144
  6. Step 6: Final answer
    x = 1,372,979.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.