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Finding the Third Proportional to 423,604 and 912,296

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Solution

The third proportional to 423,604 and 912,296 is: 1,964,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,604 : 912,296 = 912,296 : x
  2. Step 2: Convert to fraction form
    423,604/912,296 = 912,296/x
  3. Step 3: Cross multiply
    423,604x = 912,296 × 912,296
  4. Step 4: Simplify right side
    423,604x = 832,283,991,616
  5. Step 5: Solve for x
    x = 832,283,991,616/423,604
  6. Step 6: Final answer
    x = 1,964,768.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.