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Finding the Third Proportional to 129,102 and 265,332

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Solution

The third proportional to 129,102 and 265,332 is: 545,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,102 : 265,332 = 265,332 : x
  2. Step 2: Convert to fraction form
    129,102/265,332 = 265,332/x
  3. Step 3: Cross multiply
    129,102x = 265,332 × 265,332
  4. Step 4: Simplify right side
    129,102x = 70,401,070,224
  5. Step 5: Solve for x
    x = 70,401,070,224/129,102
  6. Step 6: Final answer
    x = 545,313.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.