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Finding the Third Proportional to 656,856 and 988,200

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Solution

The third proportional to 656,856 and 988,200 is: 1,486,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,856 : 988,200 = 988,200 : x
  2. Step 2: Convert to fraction form
    656,856/988,200 = 988,200/x
  3. Step 3: Cross multiply
    656,856x = 988,200 × 988,200
  4. Step 4: Simplify right side
    656,856x = 976,539,240,000
  5. Step 5: Solve for x
    x = 976,539,240,000/656,856
  6. Step 6: Final answer
    x = 1,486,686.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.