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Finding the Third Proportional to 121,528 and 252,736

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Solution

The third proportional to 121,528 and 252,736 is: 525,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,528 : 252,736 = 252,736 : x
  2. Step 2: Convert to fraction form
    121,528/252,736 = 252,736/x
  3. Step 3: Cross multiply
    121,528x = 252,736 × 252,736
  4. Step 4: Simplify right side
    121,528x = 63,875,485,696
  5. Step 5: Solve for x
    x = 63,875,485,696/121,528
  6. Step 6: Final answer
    x = 525,603.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.