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Finding the Third Proportional to 529,629 and 680,031

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Solution

The third proportional to 529,629 and 680,031 is: 873,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,629 : 680,031 = 680,031 : x
  2. Step 2: Convert to fraction form
    529,629/680,031 = 680,031/x
  3. Step 3: Cross multiply
    529,629x = 680,031 × 680,031
  4. Step 4: Simplify right side
    529,629x = 462,442,160,961
  5. Step 5: Solve for x
    x = 462,442,160,961/529,629
  6. Step 6: Final answer
    x = 873,143.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.