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Finding the Third Proportional to 306,542 and 670,108

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Solution

The third proportional to 306,542 and 670,108 is: 1,464,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,542 : 670,108 = 670,108 : x
  2. Step 2: Convert to fraction form
    306,542/670,108 = 670,108/x
  3. Step 3: Cross multiply
    306,542x = 670,108 × 670,108
  4. Step 4: Simplify right side
    306,542x = 449,044,731,664
  5. Step 5: Solve for x
    x = 449,044,731,664/306,542
  6. Step 6: Final answer
    x = 1,464,871.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.