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Finding the Third Proportional to 434,208 and 915,072

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Solution

The third proportional to 434,208 and 915,072 is: 1,928,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,208 : 915,072 = 915,072 : x
  2. Step 2: Convert to fraction form
    434,208/915,072 = 915,072/x
  3. Step 3: Cross multiply
    434,208x = 915,072 × 915,072
  4. Step 4: Simplify right side
    434,208x = 837,356,765,184
  5. Step 5: Solve for x
    x = 837,356,765,184/434,208
  6. Step 6: Final answer
    x = 1,928,469.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.