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Finding the Third Proportional to 689,938 and 966,808

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Solution

The third proportional to 689,938 and 966,808 is: 1,354,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,938 : 966,808 = 966,808 : x
  2. Step 2: Convert to fraction form
    689,938/966,808 = 966,808/x
  3. Step 3: Cross multiply
    689,938x = 966,808 × 966,808
  4. Step 4: Simplify right side
    689,938x = 934,717,708,864
  5. Step 5: Solve for x
    x = 934,717,708,864/689,938
  6. Step 6: Final answer
    x = 1,354,785.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.