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Finding the Third Proportional to 307,404 and 651,288

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Solution

The third proportional to 307,404 and 651,288 is: 1,379,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,404 : 651,288 = 651,288 : x
  2. Step 2: Convert to fraction form
    307,404/651,288 = 651,288/x
  3. Step 3: Cross multiply
    307,404x = 651,288 × 651,288
  4. Step 4: Simplify right side
    307,404x = 424,176,058,944
  5. Step 5: Solve for x
    x = 424,176,058,944/307,404
  6. Step 6: Final answer
    x = 1,379,865.13

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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.