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Finding the Third Proportional to 265,023 and 409,455

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Solution

The third proportional to 265,023 and 409,455 is: 632,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,023 : 409,455 = 409,455 : x
  2. Step 2: Convert to fraction form
    265,023/409,455 = 409,455/x
  3. Step 3: Cross multiply
    265,023x = 409,455 × 409,455
  4. Step 4: Simplify right side
    265,023x = 167,653,397,025
  5. Step 5: Solve for x
    x = 167,653,397,025/265,023
  6. Step 6: Final answer
    x = 632,599.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.