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Finding the Third Proportional to 121,608 and 265,572

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Solution

The third proportional to 121,608 and 265,572 is: 579,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,608 : 265,572 = 265,572 : x
  2. Step 2: Convert to fraction form
    121,608/265,572 = 265,572/x
  3. Step 3: Cross multiply
    121,608x = 265,572 × 265,572
  4. Step 4: Simplify right side
    121,608x = 70,528,487,184
  5. Step 5: Solve for x
    x = 70,528,487,184/121,608
  6. Step 6: Final answer
    x = 579,965.85

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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.