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Finding the Third Proportional to 121,564 and 264,407

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Solution

The third proportional to 121,564 and 264,407 is: 575,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,564 : 264,407 = 264,407 : x
  2. Step 2: Convert to fraction form
    121,564/264,407 = 264,407/x
  3. Step 3: Cross multiply
    121,564x = 264,407 × 264,407
  4. Step 4: Simplify right side
    121,564x = 69,911,061,649
  5. Step 5: Solve for x
    x = 69,911,061,649/121,564
  6. Step 6: Final answer
    x = 575,096.75

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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.