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Finding the Third Proportional to 120,681 and 264,690

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Solution

The third proportional to 120,681 and 264,690 is: 580,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,681 : 264,690 = 264,690 : x
  2. Step 2: Convert to fraction form
    120,681/264,690 = 264,690/x
  3. Step 3: Cross multiply
    120,681x = 264,690 × 264,690
  4. Step 4: Simplify right side
    120,681x = 70,060,796,100
  5. Step 5: Solve for x
    x = 70,060,796,100/120,681
  6. Step 6: Final answer
    x = 580,545.37

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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.