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Finding the Third Proportional to 265,266 and 405,645

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Solution

The third proportional to 265,266 and 405,645 is: 620,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,266 : 405,645 = 405,645 : x
  2. Step 2: Convert to fraction form
    265,266/405,645 = 405,645/x
  3. Step 3: Cross multiply
    265,266x = 405,645 × 405,645
  4. Step 4: Simplify right side
    265,266x = 164,547,866,025
  5. Step 5: Solve for x
    x = 164,547,866,025/265,266
  6. Step 6: Final answer
    x = 620,312.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.