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Finding the Third Proportional to 307,406 and 651,292

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Solution

The third proportional to 307,406 and 651,292 is: 1,379,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,406 : 651,292 = 651,292 : x
  2. Step 2: Convert to fraction form
    307,406/651,292 = 651,292/x
  3. Step 3: Cross multiply
    307,406x = 651,292 × 651,292
  4. Step 4: Simplify right side
    307,406x = 424,181,269,264
  5. Step 5: Solve for x
    x = 424,181,269,264/307,406
  6. Step 6: Final answer
    x = 1,379,873.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.