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Finding the Third Proportional to 656,862 and 988,209

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Solution

The third proportional to 656,862 and 988,209 is: 1,486,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,862 : 988,209 = 988,209 : x
  2. Step 2: Convert to fraction form
    656,862/988,209 = 988,209/x
  3. Step 3: Cross multiply
    656,862x = 988,209 × 988,209
  4. Step 4: Simplify right side
    656,862x = 976,557,027,681
  5. Step 5: Solve for x
    x = 976,557,027,681/656,862
  6. Step 6: Final answer
    x = 1,486,700.44

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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.