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Finding the Third Proportional to 435,506 and 684,366

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Solution

The third proportional to 435,506 and 684,366 is: 1,075,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,506 : 684,366 = 684,366 : x
  2. Step 2: Convert to fraction form
    435,506/684,366 = 684,366/x
  3. Step 3: Cross multiply
    435,506x = 684,366 × 684,366
  4. Step 4: Simplify right side
    435,506x = 468,356,821,956
  5. Step 5: Solve for x
    x = 468,356,821,956/435,506
  6. Step 6: Final answer
    x = 1,075,431.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.