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Finding the Third Proportional to 434,272 and 956,888

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Solution

The third proportional to 434,272 and 956,888 is: 2,108,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,272 : 956,888 = 956,888 : x
  2. Step 2: Convert to fraction form
    434,272/956,888 = 956,888/x
  3. Step 3: Cross multiply
    434,272x = 956,888 × 956,888
  4. Step 4: Simplify right side
    434,272x = 915,634,644,544
  5. Step 5: Solve for x
    x = 915,634,644,544/434,272
  6. Step 6: Final answer
    x = 2,108,435.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.