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Finding the Third Proportional to 121,574 and 251,140

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Solution

The third proportional to 121,574 and 251,140 is: 518,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,574 : 251,140 = 251,140 : x
  2. Step 2: Convert to fraction form
    121,574/251,140 = 251,140/x
  3. Step 3: Cross multiply
    121,574x = 251,140 × 251,140
  4. Step 4: Simplify right side
    121,574x = 63,071,299,600
  5. Step 5: Solve for x
    x = 63,071,299,600/121,574
  6. Step 6: Final answer
    x = 518,789.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.