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Finding the Third Proportional to 121,136 and 265,360

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Solution

The third proportional to 121,136 and 265,360 is: 581,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,136 : 265,360 = 265,360 : x
  2. Step 2: Convert to fraction form
    121,136/265,360 = 265,360/x
  3. Step 3: Cross multiply
    121,136x = 265,360 × 265,360
  4. Step 4: Simplify right side
    121,136x = 70,415,929,600
  5. Step 5: Solve for x
    x = 70,415,929,600/121,136
  6. Step 6: Final answer
    x = 581,296.47

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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.