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Finding the Third Proportional to 121,565 and 265,261

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Solution

The third proportional to 121,565 and 265,261 is: 578,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,565 : 265,261 = 265,261 : x
  2. Step 2: Convert to fraction form
    121,565/265,261 = 265,261/x
  3. Step 3: Cross multiply
    121,565x = 265,261 × 265,261
  4. Step 4: Simplify right side
    121,565x = 70,363,398,121
  5. Step 5: Solve for x
    x = 70,363,398,121/121,565
  6. Step 6: Final answer
    x = 578,812.97

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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.