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Finding the Third Proportional to 553,822 and 829,811

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Solution

The third proportional to 553,822 and 829,811 is: 1,243,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,822 : 829,811 = 829,811 : x
  2. Step 2: Convert to fraction form
    553,822/829,811 = 829,811/x
  3. Step 3: Cross multiply
    553,822x = 829,811 × 829,811
  4. Step 4: Simplify right side
    553,822x = 688,586,295,721
  5. Step 5: Solve for x
    x = 688,586,295,721/553,822
  6. Step 6: Final answer
    x = 1,243,335.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.