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Finding the Third Proportional to 450,184 and 686,710

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Solution

The third proportional to 450,184 and 686,710 is: 1,047,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,184 : 686,710 = 686,710 : x
  2. Step 2: Convert to fraction form
    450,184/686,710 = 686,710/x
  3. Step 3: Cross multiply
    450,184x = 686,710 × 686,710
  4. Step 4: Simplify right side
    450,184x = 471,570,624,100
  5. Step 5: Solve for x
    x = 471,570,624,100/450,184
  6. Step 6: Final answer
    x = 1,047,506.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.