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Finding the Third Proportional to 515,178 and 679,071

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Solution

The third proportional to 515,178 and 679,071 is: 895,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,178 : 679,071 = 679,071 : x
  2. Step 2: Convert to fraction form
    515,178/679,071 = 679,071/x
  3. Step 3: Cross multiply
    515,178x = 679,071 × 679,071
  4. Step 4: Simplify right side
    515,178x = 461,137,423,041
  5. Step 5: Solve for x
    x = 461,137,423,041/515,178
  6. Step 6: Final answer
    x = 895,103.10

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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.