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Finding the Third Proportional to 634,259 and 869,740

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Solution

The third proportional to 634,259 and 869,740 is: 1,192,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,259 : 869,740 = 869,740 : x
  2. Step 2: Convert to fraction form
    634,259/869,740 = 869,740/x
  3. Step 3: Cross multiply
    634,259x = 869,740 × 869,740
  4. Step 4: Simplify right side
    634,259x = 756,447,667,600
  5. Step 5: Solve for x
    x = 756,447,667,600/634,259
  6. Step 6: Final answer
    x = 1,192,647.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.