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Finding the Third Proportional to 553,831 and 829,825.50

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Solution

The third proportional to 553,831 and 829,825.50 is: 1,243,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,831 : 829,825.50 = 829,825.50 : x
  2. Step 2: Convert to fraction form
    553,831/829,825.50 = 829,825.50/x
  3. Step 3: Cross multiply
    553,831x = 829,825.50 × 829,825.50
  4. Step 4: Simplify right side
    553,831x = 688,610,360,450.25
  5. Step 5: Solve for x
    x = 688,610,360,450.25/553,831
  6. Step 6: Final answer
    x = 1,243,358.28

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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.