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Finding the Third Proportional to 533,007 and 704,254.50

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Solution

The third proportional to 533,007 and 704,254.50 is: 930,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,007 : 704,254.50 = 704,254.50 : x
  2. Step 2: Convert to fraction form
    533,007/704,254.50 = 704,254.50/x
  3. Step 3: Cross multiply
    533,007x = 704,254.50 × 704,254.50
  4. Step 4: Simplify right side
    533,007x = 495,974,400,770.25
  5. Step 5: Solve for x
    x = 495,974,400,770.25/533,007
  6. Step 6: Final answer
    x = 930,521.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.