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Finding the Third Proportional to 121,140 and 265,574

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Solution

The third proportional to 121,140 and 265,574 is: 582,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,140 : 265,574 = 265,574 : x
  2. Step 2: Convert to fraction form
    121,140/265,574 = 265,574/x
  3. Step 3: Cross multiply
    121,140x = 265,574 × 265,574
  4. Step 4: Simplify right side
    121,140x = 70,529,549,476
  5. Step 5: Solve for x
    x = 70,529,549,476/121,140
  6. Step 6: Final answer
    x = 582,215.20

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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.