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Finding the Third Proportional to 120,053 and 260,455

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Solution

The third proportional to 120,053 and 260,455 is: 565,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,053 : 260,455 = 260,455 : x
  2. Step 2: Convert to fraction form
    120,053/260,455 = 260,455/x
  3. Step 3: Cross multiply
    120,053x = 260,455 × 260,455
  4. Step 4: Simplify right side
    120,053x = 67,836,807,025
  5. Step 5: Solve for x
    x = 67,836,807,025/120,053
  6. Step 6: Final answer
    x = 565,057.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.