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Finding the Third Proportional to 129,710 and 265,855

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Solution

The third proportional to 129,710 and 265,855 is: 544,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710 : 265,855 = 265,855 : x
  2. Step 2: Convert to fraction form
    129,710/265,855 = 265,855/x
  3. Step 3: Cross multiply
    129,710x = 265,855 × 265,855
  4. Step 4: Simplify right side
    129,710x = 70,678,881,025
  5. Step 5: Solve for x
    x = 70,678,881,025/129,710
  6. Step 6: Final answer
    x = 544,899.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.