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Finding the Third Proportional to 268,411 and 415,070

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Solution

The third proportional to 268,411 and 415,070 is: 641,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,411 : 415,070 = 415,070 : x
  2. Step 2: Convert to fraction form
    268,411/415,070 = 415,070/x
  3. Step 3: Cross multiply
    268,411x = 415,070 × 415,070
  4. Step 4: Simplify right side
    268,411x = 172,283,104,900
  5. Step 5: Solve for x
    x = 172,283,104,900/268,411
  6. Step 6: Final answer
    x = 641,863.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.