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Finding the Third Proportional to 412,554 and 656,454

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Solution

The third proportional to 412,554 and 656,454 is: 1,044,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,554 : 656,454 = 656,454 : x
  2. Step 2: Convert to fraction form
    412,554/656,454 = 656,454/x
  3. Step 3: Cross multiply
    412,554x = 656,454 × 656,454
  4. Step 4: Simplify right side
    412,554x = 430,931,854,116
  5. Step 5: Solve for x
    x = 430,931,854,116/412,554
  6. Step 6: Final answer
    x = 1,044,546.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.