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Finding the Third Proportional to 450,284 and 684,710

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Solution

The third proportional to 450,284 and 684,710 is: 1,041,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,284 : 684,710 = 684,710 : x
  2. Step 2: Convert to fraction form
    450,284/684,710 = 684,710/x
  3. Step 3: Cross multiply
    450,284x = 684,710 × 684,710
  4. Step 4: Simplify right side
    450,284x = 468,827,784,100
  5. Step 5: Solve for x
    x = 468,827,784,100/450,284
  6. Step 6: Final answer
    x = 1,041,182.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.