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Finding the Third Proportional to 121,569 and 264,417

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Solution

The third proportional to 121,569 and 264,417 is: 575,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,569 : 264,417 = 264,417 : x
  2. Step 2: Convert to fraction form
    121,569/264,417 = 264,417/x
  3. Step 3: Cross multiply
    121,569x = 264,417 × 264,417
  4. Step 4: Simplify right side
    121,569x = 69,916,349,889
  5. Step 5: Solve for x
    x = 69,916,349,889/121,569
  6. Step 6: Final answer
    x = 575,116.60

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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.