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Finding the Third Proportional to 532,983 and 1,145,022

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Solution

The third proportional to 532,983 and 1,145,022 is: 2,459,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,983 : 1,145,022 = 1,145,022 : x
  2. Step 2: Convert to fraction form
    532,983/1,145,022 = 1,145,022/x
  3. Step 3: Cross multiply
    532,983x = 1,145,022 × 1,145,022
  4. Step 4: Simplify right side
    532,983x = 1,311,075,380,484
  5. Step 5: Solve for x
    x = 1,311,075,380,484/532,983
  6. Step 6: Final answer
    x = 2,459,882.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.