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Finding the Third Proportional to 450,186 and 686,711

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Solution

The third proportional to 450,186 and 686,711 is: 1,047,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,186 : 686,711 = 686,711 : x
  2. Step 2: Convert to fraction form
    450,186/686,711 = 686,711/x
  3. Step 3: Cross multiply
    450,186x = 686,711 × 686,711
  4. Step 4: Simplify right side
    450,186x = 471,571,997,521
  5. Step 5: Solve for x
    x = 471,571,997,521/450,186
  6. Step 6: Final answer
    x = 1,047,504.80

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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.