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Finding the Third Proportional to 309,138 and 651,487

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Solution

The third proportional to 309,138 and 651,487 is: 1,372,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,138 : 651,487 = 651,487 : x
  2. Step 2: Convert to fraction form
    309,138/651,487 = 651,487/x
  3. Step 3: Cross multiply
    309,138x = 651,487 × 651,487
  4. Step 4: Simplify right side
    309,138x = 424,435,311,169
  5. Step 5: Solve for x
    x = 424,435,311,169/309,138
  6. Step 6: Final answer
    x = 1,372,963.89

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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.