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Finding the Third Proportional to 515,176 and 679,068

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Solution

The third proportional to 515,176 and 679,068 is: 895,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,176 : 679,068 = 679,068 : x
  2. Step 2: Convert to fraction form
    515,176/679,068 = 679,068/x
  3. Step 3: Cross multiply
    515,176x = 679,068 × 679,068
  4. Step 4: Simplify right side
    515,176x = 461,133,348,624
  5. Step 5: Solve for x
    x = 461,133,348,624/515,176
  6. Step 6: Final answer
    x = 895,098.66

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.