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Finding the Third Proportional to 296,658 and 657,378

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Solution

The third proportional to 296,658 and 657,378 is: 1,456,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,658 : 657,378 = 657,378 : x
  2. Step 2: Convert to fraction form
    296,658/657,378 = 657,378/x
  3. Step 3: Cross multiply
    296,658x = 657,378 × 657,378
  4. Step 4: Simplify right side
    296,658x = 432,145,834,884
  5. Step 5: Solve for x
    x = 432,145,834,884/296,658
  6. Step 6: Final answer
    x = 1,456,713.91

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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.