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Finding the Third Proportional to 656,868 and 988,216

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Solution

The third proportional to 656,868 and 988,216 is: 1,486,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,868 : 988,216 = 988,216 : x
  2. Step 2: Convert to fraction form
    656,868/988,216 = 988,216/x
  3. Step 3: Cross multiply
    656,868x = 988,216 × 988,216
  4. Step 4: Simplify right side
    656,868x = 976,570,862,656
  5. Step 5: Solve for x
    x = 976,570,862,656/656,868
  6. Step 6: Final answer
    x = 1,486,707.93

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Why These Related Problems?

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