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Finding the Third Proportional to 689,931 and 966,799.13

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Solution

The third proportional to 689,931 and 966,799.13 is: 1,354,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,931 : 966,799.13 = 966,799.13 : x
  2. Step 2: Convert to fraction form
    689,931/966,799.13 = 966,799.13/x
  3. Step 3: Cross multiply
    689,931x = 966,799.13 × 966,799.13
  4. Step 4: Simplify right side
    689,931x = 934,700,548,100.77
  5. Step 5: Solve for x
    x = 934,700,548,100.77/689,931
  6. Step 6: Final answer
    x = 1,354,773.95

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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.