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Finding the Third Proportional to 121,372 and 264,047

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Solution

The third proportional to 121,372 and 264,047 is: 574,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,372 : 264,047 = 264,047 : x
  2. Step 2: Convert to fraction form
    121,372/264,047 = 264,047/x
  3. Step 3: Cross multiply
    121,372x = 264,047 × 264,047
  4. Step 4: Simplify right side
    121,372x = 69,720,818,209
  5. Step 5: Solve for x
    x = 69,720,818,209/121,372
  6. Step 6: Final answer
    x = 574,439.07

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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.