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Finding the Third Proportional to 121,712 and 265,840

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Solution

The third proportional to 121,712 and 265,840 is: 580,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,712 : 265,840 = 265,840 : x
  2. Step 2: Convert to fraction form
    121,712/265,840 = 265,840/x
  3. Step 3: Cross multiply
    121,712x = 265,840 × 265,840
  4. Step 4: Simplify right side
    121,712x = 70,670,905,600
  5. Step 5: Solve for x
    x = 70,670,905,600/121,712
  6. Step 6: Final answer
    x = 580,640.41

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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.