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Finding the Third Proportional to 121,387 and 265,008

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Solution

The third proportional to 121,387 and 265,008 is: 578,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,387 : 265,008 = 265,008 : x
  2. Step 2: Convert to fraction form
    121,387/265,008 = 265,008/x
  3. Step 3: Cross multiply
    121,387x = 265,008 × 265,008
  4. Step 4: Simplify right side
    121,387x = 70,229,240,064
  5. Step 5: Solve for x
    x = 70,229,240,064/121,387
  6. Step 6: Final answer
    x = 578,556.52

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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.