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Finding the Third Proportional to 433,452 and 575,146.50

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Solution

The third proportional to 433,452 and 575,146.50 is: 763,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,452 : 575,146.50 = 575,146.50 : x
  2. Step 2: Convert to fraction form
    433,452/575,146.50 = 575,146.50/x
  3. Step 3: Cross multiply
    433,452x = 575,146.50 × 575,146.50
  4. Step 4: Simplify right side
    433,452x = 330,793,496,462.25
  5. Step 5: Solve for x
    x = 330,793,496,462.25/433,452
  6. Step 6: Final answer
    x = 763,160.62

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.