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Finding the Third Proportional to 296,661 and 657,384

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Solution

The third proportional to 296,661 and 657,384 is: 1,456,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,661 : 657,384 = 657,384 : x
  2. Step 2: Convert to fraction form
    296,661/657,384 = 657,384/x
  3. Step 3: Cross multiply
    296,661x = 657,384 × 657,384
  4. Step 4: Simplify right side
    296,661x = 432,153,723,456
  5. Step 5: Solve for x
    x = 432,153,723,456/296,661
  6. Step 6: Final answer
    x = 1,456,725.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.