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Finding the Third Proportional to 120,420.84 and 262,296.56

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Solution

The third proportional to 120,420.84 and 262,296.56 is: 571,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420.84 : 262,296.56 = 262,296.56 : x
  2. Step 2: Convert to fraction form
    120,420.84/262,296.56 = 262,296.56/x
  3. Step 3: Cross multiply
    120,420.84x = 262,296.56 × 262,296.56
  4. Step 4: Simplify right side
    120,420.84x = 68,799,486,699.32
  5. Step 5: Solve for x
    x = 68,799,486,699.32/120,420.84
  6. Step 6: Final answer
    x = 571,325.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.