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Finding the Third Proportional to 522,568.50 and 763,686

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Solution

The third proportional to 522,568.50 and 763,686 is: 1,116,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,568.50 : 763,686 = 763,686 : x
  2. Step 2: Convert to fraction form
    522,568.50/763,686 = 763,686/x
  3. Step 3: Cross multiply
    522,568.50x = 763,686 × 763,686
  4. Step 4: Simplify right side
    522,568.50x = 583,216,306,596
  5. Step 5: Solve for x
    x = 583,216,306,596/522,568.50
  6. Step 6: Final answer
    x = 1,116,057.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.