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Finding the Third Proportional to 522,453 and 781,654.50

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Solution

The third proportional to 522,453 and 781,654.50 is: 1,169,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,453 : 781,654.50 = 781,654.50 : x
  2. Step 2: Convert to fraction form
    522,453/781,654.50 = 781,654.50/x
  3. Step 3: Cross multiply
    522,453x = 781,654.50 × 781,654.50
  4. Step 4: Simplify right side
    522,453x = 610,983,757,370.25
  5. Step 5: Solve for x
    x = 610,983,757,370.25/522,453
  6. Step 6: Final answer
    x = 1,169,452.10

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